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Finding the Third Proportional to 3,644,038,242,374.70 and 7,836,491,710,370.20

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Solution

The third proportional to 3,644,038,242,374.70 and 7,836,491,710,370.20 is: 16,852,348,477,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,038,242,374.70 : 7,836,491,710,370.20 = 7,836,491,710,370.20 : x
  2. Step 2: Convert to fraction form
    3,644,038,242,374.70/7,836,491,710,370.20 = 7,836,491,710,370.20/x
  3. Step 3: Cross multiply
    3,644,038,242,374.70x = 7,836,491,710,370.20 × 7,836,491,710,370.20
  4. Step 4: Simplify right side
    3,644,038,242,374.70x = 61,410,602,326,700,864,051,347,456
  5. Step 5: Solve for x
    x = 61,410,602,326,700,864,051,347,456/3,644,038,242,374.70
  6. Step 6: Final answer
    x = 16,852,348,477,737.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.