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Finding the Third Proportional to 314,259,780.38 and 740,797,558.88

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Solution

The third proportional to 314,259,780.38 and 740,797,558.88 is: 1,746,265,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,259,780.38 : 740,797,558.88 = 740,797,558.88 : x
  2. Step 2: Convert to fraction form
    314,259,780.38/740,797,558.88 = 740,797,558.88/x
  3. Step 3: Cross multiply
    314,259,780.38x = 740,797,558.88 × 740,797,558.88
  4. Step 4: Simplify right side
    314,259,780.38x = 548,781,023,235,159,104
  5. Step 5: Solve for x
    x = 548,781,023,235,159,104/314,259,780.38
  6. Step 6: Final answer
    x = 1,746,265,534.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.