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Finding the Third Proportional to 177,218,817,801 and 381,316,141,776

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Solution

The third proportional to 177,218,817,801 and 381,316,141,776 is: 820,465,917,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,218,817,801 : 381,316,141,776 = 381,316,141,776 : x
  2. Step 2: Convert to fraction form
    177,218,817,801/381,316,141,776 = 381,316,141,776/x
  3. Step 3: Cross multiply
    177,218,817,801x = 381,316,141,776 × 381,316,141,776
  4. Step 4: Simplify right side
    177,218,817,801x = 145,401,999,978,934,533,357,568
  5. Step 5: Solve for x
    x = 145,401,999,978,934,533,357,568/177,218,817,801
  6. Step 6: Final answer
    x = 820,465,917,689.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.