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Finding the Third Proportional to 671,098,734 and 1,458,361,966.50

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Solution

The third proportional to 671,098,734 and 1,458,361,966.50 is: 3,169,160,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,098,734 : 1,458,361,966.50 = 1,458,361,966.50 : x
  2. Step 2: Convert to fraction form
    671,098,734/1,458,361,966.50 = 1,458,361,966.50/x
  3. Step 3: Cross multiply
    671,098,734x = 1,458,361,966.50 × 1,458,361,966.50
  4. Step 4: Simplify right side
    671,098,734x = 2,126,819,625,333,747,200
  5. Step 5: Solve for x
    x = 2,126,819,625,333,747,200/671,098,734
  6. Step 6: Final answer
    x = 3,169,160,538.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.