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Finding the Third Proportional to 18,300,461 and 24,397,747

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Solution

The third proportional to 18,300,461 and 24,397,747 is: 32,526,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300,461 : 24,397,747 = 24,397,747 : x
  2. Step 2: Convert to fraction form
    18,300,461/24,397,747 = 24,397,747/x
  3. Step 3: Cross multiply
    18,300,461x = 24,397,747 × 24,397,747
  4. Step 4: Simplify right side
    18,300,461x = 595,250,058,676,009
  5. Step 5: Solve for x
    x = 595,250,058,676,009/18,300,461
  6. Step 6: Final answer
    x = 32,526,506.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.