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Finding the Third Proportional to 3,069,939 and 6,513,918

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Solution

The third proportional to 3,069,939 and 6,513,918 is: 13,821,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069,939 : 6,513,918 = 6,513,918 : x
  2. Step 2: Convert to fraction form
    3,069,939/6,513,918 = 6,513,918/x
  3. Step 3: Cross multiply
    3,069,939x = 6,513,918 × 6,513,918
  4. Step 4: Simplify right side
    3,069,939x = 42,431,127,710,724
  5. Step 5: Solve for x
    x = 42,431,127,710,724/3,069,939
  6. Step 6: Final answer
    x = 13,821,488.87

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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.