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Finding the Third Proportional to 5,168,540 and 7,702,390

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Solution

The third proportional to 5,168,540 and 7,702,390 is: 11,478,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168,540 : 7,702,390 = 7,702,390 : x
  2. Step 2: Convert to fraction form
    5,168,540/7,702,390 = 7,702,390/x
  3. Step 3: Cross multiply
    5,168,540x = 7,702,390 × 7,702,390
  4. Step 4: Simplify right side
    5,168,540x = 59,326,811,712,100
  5. Step 5: Solve for x
    x = 59,326,811,712,100/5,168,540
  6. Step 6: Final answer
    x = 11,478,446.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.