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Finding the Third Proportional to 6,215,920 and 14,652,688

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Solution

The third proportional to 6,215,920 and 14,652,688 is: 34,540,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215,920 : 14,652,688 = 14,652,688 : x
  2. Step 2: Convert to fraction form
    6,215,920/14,652,688 = 14,652,688/x
  3. Step 3: Cross multiply
    6,215,920x = 14,652,688 × 14,652,688
  4. Step 4: Simplify right side
    6,215,920x = 214,701,265,625,344
  5. Step 5: Solve for x
    x = 214,701,265,625,344/6,215,920
  6. Step 6: Final answer
    x = 34,540,545.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.