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Finding the Third Proportional to 10,437,876 and 14,698,908

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Solution

The third proportional to 10,437,876 and 14,698,908 is: 20,699,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437,876 : 14,698,908 = 14,698,908 : x
  2. Step 2: Convert to fraction form
    10,437,876/14,698,908 = 14,698,908/x
  3. Step 3: Cross multiply
    10,437,876x = 14,698,908 × 14,698,908
  4. Step 4: Simplify right side
    10,437,876x = 216,057,896,392,464
  5. Step 5: Solve for x
    x = 216,057,896,392,464/10,437,876
  6. Step 6: Final answer
    x = 20,699,412.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.