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Finding the Third Proportional to 4,621,569 and 9,973,872

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Solution

The third proportional to 4,621,569 and 9,973,872 is: 21,524,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621,569 : 9,973,872 = 9,973,872 : x
  2. Step 2: Convert to fraction form
    4,621,569/9,973,872 = 9,973,872/x
  3. Step 3: Cross multiply
    4,621,569x = 9,973,872 × 9,973,872
  4. Step 4: Simplify right side
    4,621,569x = 99,478,122,672,384
  5. Step 5: Solve for x
    x = 99,478,122,672,384/4,621,569
  6. Step 6: Final answer
    x = 21,524,751.16

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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.