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Finding the Third Proportional to 5,681,878 and 12,207,020

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Solution

The third proportional to 5,681,878 and 12,207,020 is: 26,225,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681,878 : 12,207,020 = 12,207,020 : x
  2. Step 2: Convert to fraction form
    5,681,878/12,207,020 = 12,207,020/x
  3. Step 3: Cross multiply
    5,681,878x = 12,207,020 × 12,207,020
  4. Step 4: Simplify right side
    5,681,878x = 149,011,337,280,400
  5. Step 5: Solve for x
    x = 149,011,337,280,400/5,681,878
  6. Step 6: Final answer
    x = 26,225,719.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.