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Finding the Third Proportional to 11,423,830 and 24,728,587

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Solution

The third proportional to 11,423,830 and 24,728,587 is: 53,528,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423,830 : 24,728,587 = 24,728,587 : x
  2. Step 2: Convert to fraction form
    11,423,830/24,728,587 = 24,728,587/x
  3. Step 3: Cross multiply
    11,423,830x = 24,728,587 × 24,728,587
  4. Step 4: Simplify right side
    11,423,830x = 611,503,015,016,569
  5. Step 5: Solve for x
    x = 611,503,015,016,569/11,423,830
  6. Step 6: Final answer
    x = 53,528,721.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.