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Finding the Third Proportional to 27,098,659,861 and 58,700,278,363

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Solution

The third proportional to 27,098,659,861 and 58,700,278,363 is: 127,154,726,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098,659,861 : 58,700,278,363 = 58,700,278,363 : x
  2. Step 2: Convert to fraction form
    27,098,659,861/58,700,278,363 = 58,700,278,363/x
  3. Step 3: Cross multiply
    27,098,659,861x = 58,700,278,363 × 58,700,278,363
  4. Step 4: Simplify right side
    27,098,659,861x = 3,445,722,679,893,685,698,560
  5. Step 5: Solve for x
    x = 3,445,722,679,893,685,698,560/27,098,659,861
  6. Step 6: Final answer
    x = 127,154,726,380.13

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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.