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Finding the Third Proportional to 6,147,210 and 9,876,918

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Solution

The third proportional to 6,147,210 and 9,876,918 is: 15,869,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,210 : 9,876,918 = 9,876,918 : x
  2. Step 2: Convert to fraction form
    6,147,210/9,876,918 = 9,876,918/x
  3. Step 3: Cross multiply
    6,147,210x = 9,876,918 × 9,876,918
  4. Step 4: Simplify right side
    6,147,210x = 97,553,509,178,724
  5. Step 5: Solve for x
    x = 97,553,509,178,724/6,147,210
  6. Step 6: Final answer
    x = 15,869,558.58

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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.