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Finding the Third Proportional to 5,177,727 and 11,264,490

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Solution

The third proportional to 5,177,727 and 11,264,490 is: 24,506,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,727 : 11,264,490 = 11,264,490 : x
  2. Step 2: Convert to fraction form
    5,177,727/11,264,490 = 11,264,490/x
  3. Step 3: Cross multiply
    5,177,727x = 11,264,490 × 11,264,490
  4. Step 4: Simplify right side
    5,177,727x = 126,888,734,960,100
  5. Step 5: Solve for x
    x = 126,888,734,960,100/5,177,727
  6. Step 6: Final answer
    x = 24,506,648.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.