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Finding the Third Proportional to 2,828,809.50 and 6,105,711

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Solution

The third proportional to 2,828,809.50 and 6,105,711 is: 13,178,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828,809.50 : 6,105,711 = 6,105,711 : x
  2. Step 2: Convert to fraction form
    2,828,809.50/6,105,711 = 6,105,711/x
  3. Step 3: Cross multiply
    2,828,809.50x = 6,105,711 × 6,105,711
  4. Step 4: Simplify right side
    2,828,809.50x = 37,279,706,815,521
  5. Step 5: Solve for x
    x = 37,279,706,815,521/2,828,809.50
  6. Step 6: Final answer
    x = 13,178,585.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.