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Finding the Third Proportional to 8,546,132.25 and 19,767,312

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Solution

The third proportional to 8,546,132.25 and 19,767,312 is: 45,722,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546,132.25 : 19,767,312 = 19,767,312 : x
  2. Step 2: Convert to fraction form
    8,546,132.25/19,767,312 = 19,767,312/x
  3. Step 3: Cross multiply
    8,546,132.25x = 19,767,312 × 19,767,312
  4. Step 4: Simplify right side
    8,546,132.25x = 390,746,623,705,344
  5. Step 5: Solve for x
    x = 390,746,623,705,344/8,546,132.25
  6. Step 6: Final answer
    x = 45,722,042.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.