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Finding the Third Proportional to 2,576,713,417,776 and 5,605,820,801,748

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Solution

The third proportional to 2,576,713,417,776 and 5,605,820,801,748 is: 12,195,856,413,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,713,417,776 : 5,605,820,801,748 = 5,605,820,801,748 : x
  2. Step 2: Convert to fraction form
    2,576,713,417,776/5,605,820,801,748 = 5,605,820,801,748/x
  3. Step 3: Cross multiply
    2,576,713,417,776x = 5,605,820,801,748 × 5,605,820,801,748
  4. Step 4: Simplify right side
    2,576,713,417,776x = 31,425,226,861,310,590,350,000,128
  5. Step 5: Solve for x
    x = 31,425,226,861,310,590,350,000,128/2,576,713,417,776
  6. Step 6: Final answer
    x = 12,195,856,413,257.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.