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Finding the Third Proportional to 10,172,038 and 14,256,086

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Solution

The third proportional to 10,172,038 and 14,256,086 is: 19,979,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172,038 : 14,256,086 = 14,256,086 : x
  2. Step 2: Convert to fraction form
    10,172,038/14,256,086 = 14,256,086/x
  3. Step 3: Cross multiply
    10,172,038x = 14,256,086 × 14,256,086
  4. Step 4: Simplify right side
    10,172,038x = 203,235,988,039,396
  5. Step 5: Solve for x
    x = 203,235,988,039,396/10,172,038
  6. Step 6: Final answer
    x = 19,979,869.13

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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.