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Finding the Third Proportional to 4,569,744 and 9,853,620

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Solution

The third proportional to 4,569,744 and 9,853,620 is: 21,247,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569,744 : 9,853,620 = 9,853,620 : x
  2. Step 2: Convert to fraction form
    4,569,744/9,853,620 = 9,853,620/x
  3. Step 3: Cross multiply
    4,569,744x = 9,853,620 × 9,853,620
  4. Step 4: Simplify right side
    4,569,744x = 97,093,827,104,400
  5. Step 5: Solve for x
    x = 97,093,827,104,400/4,569,744
  6. Step 6: Final answer
    x = 21,247,104.24

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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.