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Finding the Third Proportional to 7,666,014 and 15,557,295

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Solution

The third proportional to 7,666,014 and 15,557,295 is: 31,571,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,014 : 15,557,295 = 15,557,295 : x
  2. Step 2: Convert to fraction form
    7,666,014/15,557,295 = 15,557,295/x
  3. Step 3: Cross multiply
    7,666,014x = 15,557,295 × 15,557,295
  4. Step 4: Simplify right side
    7,666,014x = 242,029,427,717,025
  5. Step 5: Solve for x
    x = 242,029,427,717,025/7,666,014
  6. Step 6: Final answer
    x = 31,571,743.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.