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Finding the Third Proportional to 87,181,411,617 and 136,462,720,410

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Solution

The third proportional to 87,181,411,617 and 136,462,720,410 is: 213,601,428,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,181,411,617 : 136,462,720,410 = 136,462,720,410 : x
  2. Step 2: Convert to fraction form
    87,181,411,617/136,462,720,410 = 136,462,720,410/x
  3. Step 3: Cross multiply
    87,181,411,617x = 136,462,720,410 × 136,462,720,410
  4. Step 4: Simplify right side
    87,181,411,617x = 18,622,074,061,697,830,617,088
  5. Step 5: Solve for x
    x = 18,622,074,061,697,830,617,088/87,181,411,617
  6. Step 6: Final answer
    x = 213,601,428,519.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.