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Finding the Third Proportional to 6,428,018 and 9,412,011

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Solution

The third proportional to 6,428,018 and 9,412,011 is: 13,781,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,018 : 9,412,011 = 9,412,011 : x
  2. Step 2: Convert to fraction form
    6,428,018/9,412,011 = 9,412,011/x
  3. Step 3: Cross multiply
    6,428,018x = 9,412,011 × 9,412,011
  4. Step 4: Simplify right side
    6,428,018x = 88,585,951,064,121
  5. Step 5: Solve for x
    x = 88,585,951,064,121/6,428,018
  6. Step 6: Final answer
    x = 13,781,223.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.