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Finding the Third Proportional to 87,635,006 and 189,812,445

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Solution

The third proportional to 87,635,006 and 189,812,445 is: 411,122,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,635,006 : 189,812,445 = 189,812,445 : x
  2. Step 2: Convert to fraction form
    87,635,006/189,812,445 = 189,812,445/x
  3. Step 3: Cross multiply
    87,635,006x = 189,812,445 × 189,812,445
  4. Step 4: Simplify right side
    87,635,006x = 36,028,764,276,878,024
  5. Step 5: Solve for x
    x = 36,028,764,276,878,024/87,635,006
  6. Step 6: Final answer
    x = 411,122,973.81

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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.