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Finding the Third Proportional to 7,876,503 and 16,299,715

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Solution

The third proportional to 7,876,503 and 16,299,715 is: 33,730,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876,503 : 16,299,715 = 16,299,715 : x
  2. Step 2: Convert to fraction form
    7,876,503/16,299,715 = 16,299,715/x
  3. Step 3: Cross multiply
    7,876,503x = 16,299,715 × 16,299,715
  4. Step 4: Simplify right side
    7,876,503x = 265,680,709,081,225
  5. Step 5: Solve for x
    x = 265,680,709,081,225/7,876,503
  6. Step 6: Final answer
    x = 33,730,795.14

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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.