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Finding the Third Proportional to 614,565,342 and 1,351,712,947.50

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Solution

The third proportional to 614,565,342 and 1,351,712,947.50 is: 2,973,040,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,565,342 : 1,351,712,947.50 = 1,351,712,947.50 : x
  2. Step 2: Convert to fraction form
    614,565,342/1,351,712,947.50 = 1,351,712,947.50/x
  3. Step 3: Cross multiply
    614,565,342x = 1,351,712,947.50 × 1,351,712,947.50
  4. Step 4: Simplify right side
    614,565,342x = 1,827,127,892,439,137,792
  5. Step 5: Solve for x
    x = 1,827,127,892,439,137,792/614,565,342
  6. Step 6: Final answer
    x = 2,973,040,891.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.