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Finding the Third Proportional to 42,213,562 and 66,897,567

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Solution

The third proportional to 42,213,562 and 66,897,567 is: 106,015,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,213,562 : 66,897,567 = 66,897,567 : x
  2. Step 2: Convert to fraction form
    42,213,562/66,897,567 = 66,897,567/x
  3. Step 3: Cross multiply
    42,213,562x = 66,897,567 × 66,897,567
  4. Step 4: Simplify right side
    42,213,562x = 4,475,284,470,519,489
  5. Step 5: Solve for x
    x = 4,475,284,470,519,489/42,213,562
  6. Step 6: Final answer
    x = 106,015,324.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.