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Finding the Third Proportional to 5,650,719 and 12,376,344

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Solution

The third proportional to 5,650,719 and 12,376,344 is: 27,106,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650,719 : 12,376,344 = 12,376,344 : x
  2. Step 2: Convert to fraction form
    5,650,719/12,376,344 = 12,376,344/x
  3. Step 3: Cross multiply
    5,650,719x = 12,376,344 × 12,376,344
  4. Step 4: Simplify right side
    5,650,719x = 153,173,890,806,336
  5. Step 5: Solve for x
    x = 153,173,890,806,336/5,650,719
  6. Step 6: Final answer
    x = 27,106,973.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.