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Finding the Third Proportional to 10,453,919.06 and 14,695,173.56

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Solution

The third proportional to 10,453,919.06 and 14,695,173.56 is: 20,657,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453,919.06 : 14,695,173.56 = 14,695,173.56 : x
  2. Step 2: Convert to fraction form
    10,453,919.06/14,695,173.56 = 14,695,173.56/x
  3. Step 3: Cross multiply
    10,453,919.06x = 14,695,173.56 × 14,695,173.56
  4. Step 4: Simplify right side
    10,453,919.06x = 215,948,126,031,998.94
  5. Step 5: Solve for x
    x = 215,948,126,031,998.94/10,453,919.06
  6. Step 6: Final answer
    x = 20,657,145.40

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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.