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Finding the Third Proportional to 3,644,430,262 and 5,442,763,761

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Solution

The third proportional to 3,644,430,262 and 5,442,763,761 is: 8,128,479,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,430,262 : 5,442,763,761 = 5,442,763,761 : x
  2. Step 2: Convert to fraction form
    3,644,430,262/5,442,763,761 = 5,442,763,761/x
  3. Step 3: Cross multiply
    3,644,430,262x = 5,442,763,761 × 5,442,763,761
  4. Step 4: Simplify right side
    3,644,430,262x = 29,623,677,358,054,866,944
  5. Step 5: Solve for x
    x = 29,623,677,358,054,866,944/3,644,430,262
  6. Step 6: Final answer
    x = 8,128,479,687.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.