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Finding the Third Proportional to 9,196,856 and 19,514,320

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Solution

The third proportional to 9,196,856 and 19,514,320 is: 41,406,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196,856 : 19,514,320 = 19,514,320 : x
  2. Step 2: Convert to fraction form
    9,196,856/19,514,320 = 19,514,320/x
  3. Step 3: Cross multiply
    9,196,856x = 19,514,320 × 19,514,320
  4. Step 4: Simplify right side
    9,196,856x = 380,808,685,062,400
  5. Step 5: Solve for x
    x = 380,808,685,062,400/9,196,856
  6. Step 6: Final answer
    x = 41,406,398.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.