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Finding the Third Proportional to 49,711,031 and 108,026,842

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Solution

The third proportional to 49,711,031 and 108,026,842 is: 234,752,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,711,031 : 108,026,842 = 108,026,842 : x
  2. Step 2: Convert to fraction form
    49,711,031/108,026,842 = 108,026,842/x
  3. Step 3: Cross multiply
    49,711,031x = 108,026,842 × 108,026,842
  4. Step 4: Simplify right side
    49,711,031x = 11,669,798,592,492,964
  5. Step 5: Solve for x
    x = 11,669,798,592,492,964/49,711,031
  6. Step 6: Final answer
    x = 234,752,696.89

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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.