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Finding the Third Proportional to 44,988,126,446 and 96,746,811,233

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Solution

The third proportional to 44,988,126,446 and 96,746,811,233 is: 208,053,684,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,988,126,446 : 96,746,811,233 = 96,746,811,233 : x
  2. Step 2: Convert to fraction form
    44,988,126,446/96,746,811,233 = 96,746,811,233/x
  3. Step 3: Cross multiply
    44,988,126,446x = 96,746,811,233 × 96,746,811,233
  4. Step 4: Simplify right side
    44,988,126,446x = 9,359,945,483,753,734,799,360
  5. Step 5: Solve for x
    x = 9,359,945,483,753,734,799,360/44,988,126,446
  6. Step 6: Final answer
    x = 208,053,684,898.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.