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Finding the Third Proportional to 11,358,160 and 24,632,698

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Solution

The third proportional to 11,358,160 and 24,632,698 is: 53,421,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358,160 : 24,632,698 = 24,632,698 : x
  2. Step 2: Convert to fraction form
    11,358,160/24,632,698 = 24,632,698/x
  3. Step 3: Cross multiply
    11,358,160x = 24,632,698 × 24,632,698
  4. Step 4: Simplify right side
    11,358,160x = 606,769,810,759,204
  5. Step 5: Solve for x
    x = 606,769,810,759,204/11,358,160
  6. Step 6: Final answer
    x = 53,421,488.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.