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Finding the Third Proportional to 2,906,545.50 and 6,788,842.50

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Solution

The third proportional to 2,906,545.50 and 6,788,842.50 is: 15,856,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,545.50 : 6,788,842.50 = 6,788,842.50 : x
  2. Step 2: Convert to fraction form
    2,906,545.50/6,788,842.50 = 6,788,842.50/x
  3. Step 3: Cross multiply
    2,906,545.50x = 6,788,842.50 × 6,788,842.50
  4. Step 4: Simplify right side
    2,906,545.50x = 46,088,382,489,806.25
  5. Step 5: Solve for x
    x = 46,088,382,489,806.25/2,906,545.50
  6. Step 6: Final answer
    x = 15,856,755.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.