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Finding the Third Proportional to 7,876,500.75 and 16,299,711

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Solution

The third proportional to 7,876,500.75 and 16,299,711 is: 33,730,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876,500.75 : 16,299,711 = 16,299,711 : x
  2. Step 2: Convert to fraction form
    7,876,500.75/16,299,711 = 16,299,711/x
  3. Step 3: Cross multiply
    7,876,500.75x = 16,299,711 × 16,299,711
  4. Step 4: Simplify right side
    7,876,500.75x = 265,680,578,683,521
  5. Step 5: Solve for x
    x = 265,680,578,683,521/7,876,500.75
  6. Step 6: Final answer
    x = 33,730,788.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.