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Finding the Third Proportional to 13,911,967.25 and 18,547,184

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Solution

The third proportional to 13,911,967.25 and 18,547,184 is: 24,726,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911,967.25 : 18,547,184 = 18,547,184 : x
  2. Step 2: Convert to fraction form
    13,911,967.25/18,547,184 = 18,547,184/x
  3. Step 3: Cross multiply
    13,911,967.25x = 18,547,184 × 18,547,184
  4. Step 4: Simplify right side
    13,911,967.25x = 343,998,034,329,856
  5. Step 5: Solve for x
    x = 343,998,034,329,856/13,911,967.25
  6. Step 6: Final answer
    x = 24,726,771.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.