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Finding the Third Proportional to 3,644,430,743 and 5,442,764,439

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Solution

The third proportional to 3,644,430,743 and 5,442,764,439 is: 8,128,480,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,430,743 : 5,442,764,439 = 5,442,764,439 : x
  2. Step 2: Convert to fraction form
    3,644,430,743/5,442,764,439 = 5,442,764,439/x
  3. Step 3: Cross multiply
    3,644,430,743x = 5,442,764,439 × 5,442,764,439
  4. Step 4: Simplify right side
    3,644,430,743x = 29,623,684,738,442,985,472
  5. Step 5: Solve for x
    x = 29,623,684,738,442,985,472/3,644,430,743
  6. Step 6: Final answer
    x = 8,128,480,640.04

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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.