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Finding the Third Proportional to 8,147,776.50 and 16,964,248.50

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Solution

The third proportional to 8,147,776.50 and 16,964,248.50 is: 35,320,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147,776.50 : 16,964,248.50 = 16,964,248.50 : x
  2. Step 2: Convert to fraction form
    8,147,776.50/16,964,248.50 = 16,964,248.50/x
  3. Step 3: Cross multiply
    8,147,776.50x = 16,964,248.50 × 16,964,248.50
  4. Step 4: Simplify right side
    8,147,776.50x = 287,785,727,169,752.25
  5. Step 5: Solve for x
    x = 287,785,727,169,752.25/8,147,776.50
  6. Step 6: Final answer
    x = 35,320,768.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.