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Finding the Third Proportional to 27,385,508 and 42,648,608

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Solution

The third proportional to 27,385,508 and 42,648,608 is: 66,418,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385,508 : 42,648,608 = 42,648,608 : x
  2. Step 2: Convert to fraction form
    27,385,508/42,648,608 = 42,648,608/x
  3. Step 3: Cross multiply
    27,385,508x = 42,648,608 × 42,648,608
  4. Step 4: Simplify right side
    27,385,508x = 1,818,903,764,337,664
  5. Step 5: Solve for x
    x = 1,818,903,764,337,664/27,385,508
  6. Step 6: Final answer
    x = 66,418,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.