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Finding the Third Proportional to 4,867,407 and 7,566,603

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Solution

The third proportional to 4,867,407 and 7,566,603 is: 11,762,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,407 : 7,566,603 = 7,566,603 : x
  2. Step 2: Convert to fraction form
    4,867,407/7,566,603 = 7,566,603/x
  3. Step 3: Cross multiply
    4,867,407x = 7,566,603 × 7,566,603
  4. Step 4: Simplify right side
    4,867,407x = 57,253,480,959,609
  5. Step 5: Solve for x
    x = 57,253,480,959,609/4,867,407
  6. Step 6: Final answer
    x = 11,762,624.53

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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.