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Finding the Third Proportional to 10,172,034 and 14,256,081

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Solution

The third proportional to 10,172,034 and 14,256,081 is: 19,979,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172,034 : 14,256,081 = 14,256,081 : x
  2. Step 2: Convert to fraction form
    10,172,034/14,256,081 = 14,256,081/x
  3. Step 3: Cross multiply
    10,172,034x = 14,256,081 × 14,256,081
  4. Step 4: Simplify right side
    10,172,034x = 203,235,845,478,561
  5. Step 5: Solve for x
    x = 203,235,845,478,561/10,172,034
  6. Step 6: Final answer
    x = 19,979,862.97

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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.