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Finding the Third Proportional to 7,715,670 and 16,494,276

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Solution

The third proportional to 7,715,670 and 16,494,276 is: 35,260,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715,670 : 16,494,276 = 16,494,276 : x
  2. Step 2: Convert to fraction form
    7,715,670/16,494,276 = 16,494,276/x
  3. Step 3: Cross multiply
    7,715,670x = 16,494,276 × 16,494,276
  4. Step 4: Simplify right side
    7,715,670x = 272,061,140,764,176
  5. Step 5: Solve for x
    x = 272,061,140,764,176/7,715,670
  6. Step 6: Final answer
    x = 35,260,857.55

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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.