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Finding the Third Proportional to 4,491,045 and 9,719,514

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Solution

The third proportional to 4,491,045 and 9,719,514 is: 21,034,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491,045 : 9,719,514 = 9,719,514 : x
  2. Step 2: Convert to fraction form
    4,491,045/9,719,514 = 9,719,514/x
  3. Step 3: Cross multiply
    4,491,045x = 9,719,514 × 9,719,514
  4. Step 4: Simplify right side
    4,491,045x = 94,468,952,396,196
  5. Step 5: Solve for x
    x = 94,468,952,396,196/4,491,045
  6. Step 6: Final answer
    x = 21,034,960.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.