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Finding the Third Proportional to 51,799,293,552 and 112,719,800,808

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Solution

The third proportional to 51,799,293,552 and 112,719,800,808 is: 245,288,161,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,799,293,552 : 112,719,800,808 = 112,719,800,808 : x
  2. Step 2: Convert to fraction form
    51,799,293,552/112,719,800,808 = 112,719,800,808/x
  3. Step 3: Cross multiply
    51,799,293,552x = 112,719,800,808 × 112,719,800,808
  4. Step 4: Simplify right side
    51,799,293,552x = 12,705,753,494,195,198,230,528
  5. Step 5: Solve for x
    x = 12,705,753,494,195,198,230,528/51,799,293,552
  6. Step 6: Final answer
    x = 245,288,161,728.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.