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Finding the Third Proportional to 7,546,185 and 16,287,414

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Solution

The third proportional to 7,546,185 and 16,287,414 is: 35,154,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,185 : 16,287,414 = 16,287,414 : x
  2. Step 2: Convert to fraction form
    7,546,185/16,287,414 = 16,287,414/x
  3. Step 3: Cross multiply
    7,546,185x = 16,287,414 × 16,287,414
  4. Step 4: Simplify right side
    7,546,185x = 265,279,854,807,396
  5. Step 5: Solve for x
    x = 265,279,854,807,396/7,546,185
  6. Step 6: Final answer
    x = 35,154,167.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.