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Finding the Third Proportional to 3,644,430,290 and 5,442,763,803

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Solution

The third proportional to 3,644,430,290 and 5,442,763,803 is: 8,128,479,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,430,290 : 5,442,763,803 = 5,442,763,803 : x
  2. Step 2: Convert to fraction form
    3,644,430,290/5,442,763,803 = 5,442,763,803/x
  3. Step 3: Cross multiply
    3,644,430,290x = 5,442,763,803 × 5,442,763,803
  4. Step 4: Simplify right side
    3,644,430,290x = 29,623,677,815,247,024,128
  5. Step 5: Solve for x
    x = 29,623,677,815,247,024,128/3,644,430,290
  6. Step 6: Final answer
    x = 8,128,479,750.74

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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.