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Finding the Third Proportional to 7,676,602 and 16,416,085

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Solution

The third proportional to 7,676,602 and 16,416,085 is: 35,105,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,602 : 16,416,085 = 16,416,085 : x
  2. Step 2: Convert to fraction form
    7,676,602/16,416,085 = 16,416,085/x
  3. Step 3: Cross multiply
    7,676,602x = 16,416,085 × 16,416,085
  4. Step 4: Simplify right side
    7,676,602x = 269,487,846,727,225
  5. Step 5: Solve for x
    x = 269,487,846,727,225/7,676,602
  6. Step 6: Final answer
    x = 35,105,095.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.