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Finding the Third Proportional to 4,244,742 and 9,161,698

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Solution

The third proportional to 4,244,742 and 9,161,698 is: 19,774,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244,742 : 9,161,698 = 9,161,698 : x
  2. Step 2: Convert to fraction form
    4,244,742/9,161,698 = 9,161,698/x
  3. Step 3: Cross multiply
    4,244,742x = 9,161,698 × 9,161,698
  4. Step 4: Simplify right side
    4,244,742x = 83,936,710,243,204
  5. Step 5: Solve for x
    x = 83,936,710,243,204/4,244,742
  6. Step 6: Final answer
    x = 19,774,278.45

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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.