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Finding the Third Proportional to 22,508,980,996 and 47,929,156,424

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Solution

The third proportional to 22,508,980,996 and 47,929,156,424 is: 102,057,220,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508,980,996 : 47,929,156,424 = 47,929,156,424 : x
  2. Step 2: Convert to fraction form
    22,508,980,996/47,929,156,424 = 47,929,156,424/x
  3. Step 3: Cross multiply
    22,508,980,996x = 47,929,156,424 × 47,929,156,424
  4. Step 4: Simplify right side
    22,508,980,996x = 2,297,204,035,516,260,417,536
  5. Step 5: Solve for x
    x = 2,297,204,035,516,260,417,536/22,508,980,996
  6. Step 6: Final answer
    x = 102,057,220,445.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.