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Finding the Third Proportional to 7,666,288 and 16,396,281

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Solution

The third proportional to 7,666,288 and 16,396,281 is: 35,067,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,288 : 16,396,281 = 16,396,281 : x
  2. Step 2: Convert to fraction form
    7,666,288/16,396,281 = 16,396,281/x
  3. Step 3: Cross multiply
    7,666,288x = 16,396,281 × 16,396,281
  4. Step 4: Simplify right side
    7,666,288x = 268,838,030,630,961
  5. Step 5: Solve for x
    x = 268,838,030,630,961/7,666,288
  6. Step 6: Final answer
    x = 35,067,562.11

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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.