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Finding the Third Proportional to 10,269,428 and 14,356,568

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Solution

The third proportional to 10,269,428 and 14,356,568 is: 20,070,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269,428 : 14,356,568 = 14,356,568 : x
  2. Step 2: Convert to fraction form
    10,269,428/14,356,568 = 14,356,568/x
  3. Step 3: Cross multiply
    10,269,428x = 14,356,568 × 14,356,568
  4. Step 4: Simplify right side
    10,269,428x = 206,111,044,738,624
  5. Step 5: Solve for x
    x = 206,111,044,738,624/10,269,428
  6. Step 6: Final answer
    x = 20,070,352.97

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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.