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Finding the Third Proportional to 614,737,830 and 944,312,500.50

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Solution

The third proportional to 614,737,830 and 944,312,500.50 is: 1,450,579,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,737,830 : 944,312,500.50 = 944,312,500.50 : x
  2. Step 2: Convert to fraction form
    614,737,830/944,312,500.50 = 944,312,500.50/x
  3. Step 3: Cross multiply
    614,737,830x = 944,312,500.50 × 944,312,500.50
  4. Step 4: Simplify right side
    614,737,830x = 891,726,098,600,562,560
  5. Step 5: Solve for x
    x = 891,726,098,600,562,560/614,737,830
  6. Step 6: Final answer
    x = 1,450,579,507.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.