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Finding the Third Proportional to 12,351,684 and 27,216,312

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Solution

The third proportional to 12,351,684 and 27,216,312 is: 59,969,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351,684 : 27,216,312 = 27,216,312 : x
  2. Step 2: Convert to fraction form
    12,351,684/27,216,312 = 27,216,312/x
  3. Step 3: Cross multiply
    12,351,684x = 27,216,312 × 27,216,312
  4. Step 4: Simplify right side
    12,351,684x = 740,727,638,881,344
  5. Step 5: Solve for x
    x = 740,727,638,881,344/12,351,684
  6. Step 6: Final answer
    x = 59,969,769.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.