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Finding the Third Proportional to 5,207,386 and 10,668,464

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Solution

The third proportional to 5,207,386 and 10,668,464 is: 21,856,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207,386 : 10,668,464 = 10,668,464 : x
  2. Step 2: Convert to fraction form
    5,207,386/10,668,464 = 10,668,464/x
  3. Step 3: Cross multiply
    5,207,386x = 10,668,464 × 10,668,464
  4. Step 4: Simplify right side
    5,207,386x = 113,816,124,119,296
  5. Step 5: Solve for x
    x = 113,816,124,119,296/5,207,386
  6. Step 6: Final answer
    x = 21,856,671.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.