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Finding the Third Proportional to 6,147,216 and 9,876,927

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Solution

The third proportional to 6,147,216 and 9,876,927 is: 15,869,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,216 : 9,876,927 = 9,876,927 : x
  2. Step 2: Convert to fraction form
    6,147,216/9,876,927 = 9,876,927/x
  3. Step 3: Cross multiply
    6,147,216x = 9,876,927 × 9,876,927
  4. Step 4: Simplify right side
    6,147,216x = 97,553,686,963,329
  5. Step 5: Solve for x
    x = 97,553,686,963,329/6,147,216
  6. Step 6: Final answer
    x = 15,869,572.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.