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Finding the Third Proportional to 39,709,695 and 86,013,231

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Solution

The third proportional to 39,709,695 and 86,013,231 is: 186,309,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,709,695 : 86,013,231 = 86,013,231 : x
  2. Step 2: Convert to fraction form
    39,709,695/86,013,231 = 86,013,231/x
  3. Step 3: Cross multiply
    39,709,695x = 86,013,231 × 86,013,231
  4. Step 4: Simplify right side
    39,709,695x = 7,398,275,907,059,361
  5. Step 5: Solve for x
    x = 7,398,275,907,059,361/39,709,695
  6. Step 6: Final answer
    x = 186,309,058.96

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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.