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Finding the Third Proportional to 11,423,828 and 24,728,584

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Solution

The third proportional to 11,423,828 and 24,728,584 is: 53,528,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423,828 : 24,728,584 = 24,728,584 : x
  2. Step 2: Convert to fraction form
    11,423,828/24,728,584 = 24,728,584/x
  3. Step 3: Cross multiply
    11,423,828x = 24,728,584 × 24,728,584
  4. Step 4: Simplify right side
    11,423,828x = 611,502,866,645,056
  5. Step 5: Solve for x
    x = 611,502,866,645,056/11,423,828
  6. Step 6: Final answer
    x = 53,528,717.93

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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.