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Finding the Third Proportional to 7,876,509.75 and 16,299,729

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Solution

The third proportional to 7,876,509.75 and 16,299,729 is: 33,730,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876,509.75 : 16,299,729 = 16,299,729 : x
  2. Step 2: Convert to fraction form
    7,876,509.75/16,299,729 = 16,299,729/x
  3. Step 3: Cross multiply
    7,876,509.75x = 16,299,729 × 16,299,729
  4. Step 4: Simplify right side
    7,876,509.75x = 265,681,165,473,441
  5. Step 5: Solve for x
    x = 265,681,165,473,441/7,876,509.75
  6. Step 6: Final answer
    x = 33,730,824.17

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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.