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Finding the Third Proportional to 27,245,909 and 40,983,632

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Solution

The third proportional to 27,245,909 and 40,983,632 is: 61,648,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245,909 : 40,983,632 = 40,983,632 : x
  2. Step 2: Convert to fraction form
    27,245,909/40,983,632 = 40,983,632/x
  3. Step 3: Cross multiply
    27,245,909x = 40,983,632 × 40,983,632
  4. Step 4: Simplify right side
    27,245,909x = 1,679,658,091,911,424
  5. Step 5: Solve for x
    x = 1,679,658,091,911,424/27,245,909
  6. Step 6: Final answer
    x = 61,648,084.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.