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Finding the Third Proportional to 4,368,640 and 6,614,016

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Solution

The third proportional to 4,368,640 and 6,614,016 is: 10,013,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368,640 : 6,614,016 = 6,614,016 : x
  2. Step 2: Convert to fraction form
    4,368,640/6,614,016 = 6,614,016/x
  3. Step 3: Cross multiply
    4,368,640x = 6,614,016 × 6,614,016
  4. Step 4: Simplify right side
    4,368,640x = 43,745,207,648,256
  5. Step 5: Solve for x
    x = 43,745,207,648,256/4,368,640
  6. Step 6: Final answer
    x = 10,013,461.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.