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Finding the Third Proportional to 133,927,452 and 286,986,780

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Solution

The third proportional to 133,927,452 and 286,986,780 is: 614,970,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,927,452 : 286,986,780 = 286,986,780 : x
  2. Step 2: Convert to fraction form
    133,927,452/286,986,780 = 286,986,780/x
  3. Step 3: Cross multiply
    133,927,452x = 286,986,780 × 286,986,780
  4. Step 4: Simplify right side
    133,927,452x = 82,361,411,894,768,400
  5. Step 5: Solve for x
    x = 82,361,411,894,768,400/133,927,452
  6. Step 6: Final answer
    x = 614,970,348.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.