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Finding the Third Proportional to 7,878,357 and 17,137,080

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Solution

The third proportional to 7,878,357 and 17,137,080 is: 37,276,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,357 : 17,137,080 = 17,137,080 : x
  2. Step 2: Convert to fraction form
    7,878,357/17,137,080 = 17,137,080/x
  3. Step 3: Cross multiply
    7,878,357x = 17,137,080 × 17,137,080
  4. Step 4: Simplify right side
    7,878,357x = 293,679,510,926,400
  5. Step 5: Solve for x
    x = 293,679,510,926,400/7,878,357
  6. Step 6: Final answer
    x = 37,276,745.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.