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Finding the Third Proportional to 16,901,749,843,641 and 36,610,055,098,776

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Solution

The third proportional to 16,901,749,843,641 and 36,610,055,098,776 is: 79,299,252,842,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901,749,843,641 : 36,610,055,098,776 = 36,610,055,098,776 : x
  2. Step 2: Convert to fraction form
    16,901,749,843,641/36,610,055,098,776 = 36,610,055,098,776/x
  3. Step 3: Cross multiply
    16,901,749,843,641x = 36,610,055,098,776 × 36,610,055,098,776
  4. Step 4: Simplify right side
    16,901,749,843,641x = 1,340,296,134,335,414,638,775,107,584
  5. Step 5: Solve for x
    x = 1,340,296,134,335,414,638,775,107,584/16,901,749,843,641
  6. Step 6: Final answer
    x = 79,299,252,842,727.33

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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.