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Finding the Third Proportional to 9,646,834 and 20,087,514

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Solution

The third proportional to 9,646,834 and 20,087,514 is: 41,828,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,834 : 20,087,514 = 20,087,514 : x
  2. Step 2: Convert to fraction form
    9,646,834/20,087,514 = 20,087,514/x
  3. Step 3: Cross multiply
    9,646,834x = 20,087,514 × 20,087,514
  4. Step 4: Simplify right side
    9,646,834x = 403,508,218,700,196
  5. Step 5: Solve for x
    x = 403,508,218,700,196/9,646,834
  6. Step 6: Final answer
    x = 41,828,046.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.