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Finding the Third Proportional to 6,461,196 and 10,137,102

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Solution

The third proportional to 6,461,196 and 10,137,102 is: 15,904,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,196 : 10,137,102 = 10,137,102 : x
  2. Step 2: Convert to fraction form
    6,461,196/10,137,102 = 10,137,102/x
  3. Step 3: Cross multiply
    6,461,196x = 10,137,102 × 10,137,102
  4. Step 4: Simplify right side
    6,461,196x = 102,760,836,958,404
  5. Step 5: Solve for x
    x = 102,760,836,958,404/6,461,196
  6. Step 6: Final answer
    x = 15,904,305.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.