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Finding the Third Proportional to 726,515,659.13 and 1,549,897,922.25

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Solution

The third proportional to 726,515,659.13 and 1,549,897,922.25 is: 3,306,444,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,515,659.13 : 1,549,897,922.25 = 1,549,897,922.25 : x
  2. Step 2: Convert to fraction form
    726,515,659.13/1,549,897,922.25 = 1,549,897,922.25/x
  3. Step 3: Cross multiply
    726,515,659.13x = 1,549,897,922.25 × 1,549,897,922.25
  4. Step 4: Simplify right side
    726,515,659.13x = 2,402,183,569,394,867,200
  5. Step 5: Solve for x
    x = 2,402,183,569,394,867,200/726,515,659.13
  6. Step 6: Final answer
    x = 3,306,444,312.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.