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Finding the Third Proportional to 5,685,473 and 12,566,749

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Solution

The third proportional to 5,685,473 and 12,566,749 is: 27,776,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,473 : 12,566,749 = 12,566,749 : x
  2. Step 2: Convert to fraction form
    5,685,473/12,566,749 = 12,566,749/x
  3. Step 3: Cross multiply
    5,685,473x = 12,566,749 × 12,566,749
  4. Step 4: Simplify right side
    5,685,473x = 157,923,180,429,001
  5. Step 5: Solve for x
    x = 157,923,180,429,001/5,685,473
  6. Step 6: Final answer
    x = 27,776,612.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.