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Finding the Third Proportional to 9,767,384 and 14,368,612

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Solution

The third proportional to 9,767,384 and 14,368,612 is: 21,137,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767,384 : 14,368,612 = 14,368,612 : x
  2. Step 2: Convert to fraction form
    9,767,384/14,368,612 = 14,368,612/x
  3. Step 3: Cross multiply
    9,767,384x = 14,368,612 × 14,368,612
  4. Step 4: Simplify right side
    9,767,384x = 206,457,010,806,544
  5. Step 5: Solve for x
    x = 206,457,010,806,544/9,767,384
  6. Step 6: Final answer
    x = 21,137,390.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.