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Finding the Third Proportional to 6,204,276 and 9,312,982

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Solution

The third proportional to 6,204,276 and 9,312,982 is: 13,979,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204,276 : 9,312,982 = 9,312,982 : x
  2. Step 2: Convert to fraction form
    6,204,276/9,312,982 = 9,312,982/x
  3. Step 3: Cross multiply
    6,204,276x = 9,312,982 × 9,312,982
  4. Step 4: Simplify right side
    6,204,276x = 86,731,633,732,324
  5. Step 5: Solve for x
    x = 86,731,633,732,324/6,204,276
  6. Step 6: Final answer
    x = 13,979,331.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.