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Finding the Third Proportional to 3,065,864.50 and 6,653,312

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Solution

The third proportional to 3,065,864.50 and 6,653,312 is: 14,438,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065,864.50 : 6,653,312 = 6,653,312 : x
  2. Step 2: Convert to fraction form
    3,065,864.50/6,653,312 = 6,653,312/x
  3. Step 3: Cross multiply
    3,065,864.50x = 6,653,312 × 6,653,312
  4. Step 4: Simplify right side
    3,065,864.50x = 44,266,560,569,344
  5. Step 5: Solve for x
    x = 44,266,560,569,344/3,065,864.50
  6. Step 6: Final answer
    x = 14,438,524.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.