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Finding the Third Proportional to 7,702,576 and 16,711,520

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Solution

The third proportional to 7,702,576 and 16,711,520 is: 36,257,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,576 : 16,711,520 = 16,711,520 : x
  2. Step 2: Convert to fraction form
    7,702,576/16,711,520 = 16,711,520/x
  3. Step 3: Cross multiply
    7,702,576x = 16,711,520 × 16,711,520
  4. Step 4: Simplify right side
    7,702,576x = 279,274,900,710,400
  5. Step 5: Solve for x
    x = 279,274,900,710,400/7,702,576
  6. Step 6: Final answer
    x = 36,257,337.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.