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Finding the Third Proportional to 7,980,374 and 12,382,217

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Solution

The third proportional to 7,980,374 and 12,382,217 is: 19,212,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980,374 : 12,382,217 = 12,382,217 : x
  2. Step 2: Convert to fraction form
    7,980,374/12,382,217 = 12,382,217/x
  3. Step 3: Cross multiply
    7,980,374x = 12,382,217 × 12,382,217
  4. Step 4: Simplify right side
    7,980,374x = 153,319,297,835,089
  5. Step 5: Solve for x
    x = 153,319,297,835,089/7,980,374
  6. Step 6: Final answer
    x = 19,212,044.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.