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Finding the Third Proportional to 4,867,411 and 7,566,609

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Solution

The third proportional to 4,867,411 and 7,566,609 is: 11,762,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,411 : 7,566,609 = 7,566,609 : x
  2. Step 2: Convert to fraction form
    4,867,411/7,566,609 = 7,566,609/x
  3. Step 3: Cross multiply
    4,867,411x = 7,566,609 × 7,566,609
  4. Step 4: Simplify right side
    4,867,411x = 57,253,571,758,881
  5. Step 5: Solve for x
    x = 57,253,571,758,881/4,867,411
  6. Step 6: Final answer
    x = 11,762,633.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.