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Finding the Third Proportional to 10,269,427 and 14,356,567

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Solution

The third proportional to 10,269,427 and 14,356,567 is: 20,070,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269,427 : 14,356,567 = 14,356,567 : x
  2. Step 2: Convert to fraction form
    10,269,427/14,356,567 = 14,356,567/x
  3. Step 3: Cross multiply
    10,269,427x = 14,356,567 × 14,356,567
  4. Step 4: Simplify right side
    10,269,427x = 206,111,016,025,489
  5. Step 5: Solve for x
    x = 206,111,016,025,489/10,269,427
  6. Step 6: Final answer
    x = 20,070,352.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.