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Finding the Third Proportional to 7,820,441 and 16,817,670

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Solution

The third proportional to 7,820,441 and 16,817,670 is: 36,165,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820,441 : 16,817,670 = 16,817,670 : x
  2. Step 2: Convert to fraction form
    7,820,441/16,817,670 = 16,817,670/x
  3. Step 3: Cross multiply
    7,820,441x = 16,817,670 × 16,817,670
  4. Step 4: Simplify right side
    7,820,441x = 282,834,024,228,900
  5. Step 5: Solve for x
    x = 282,834,024,228,900/7,820,441
  6. Step 6: Final answer
    x = 36,165,994.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.