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Finding the Third Proportional to 8,872,572,778 and 13,782,372,348

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Solution

The third proportional to 8,872,572,778 and 13,782,372,348 is: 21,409,098,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872,572,778 : 13,782,372,348 = 13,782,372,348 : x
  2. Step 2: Convert to fraction form
    8,872,572,778/13,782,372,348 = 13,782,372,348/x
  3. Step 3: Cross multiply
    8,872,572,778x = 13,782,372,348 × 13,782,372,348
  4. Step 4: Simplify right side
    8,872,572,778x = 189,953,787,538,915,033,088
  5. Step 5: Solve for x
    x = 189,953,787,538,915,033,088/8,872,572,778
  6. Step 6: Final answer
    x = 21,409,098,836.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.