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Finding the Third Proportional to 6,010,017.75 and 14,172,964.88

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Solution

The third proportional to 6,010,017.75 and 14,172,964.88 is: 33,423,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010,017.75 : 14,172,964.88 = 14,172,964.88 : x
  2. Step 2: Convert to fraction form
    6,010,017.75/14,172,964.88 = 14,172,964.88/x
  3. Step 3: Cross multiply
    6,010,017.75x = 14,172,964.88 × 14,172,964.88
  4. Step 4: Simplify right side
    6,010,017.75x = 200,872,933,347,983.75
  5. Step 5: Solve for x
    x = 200,872,933,347,983.75/6,010,017.75
  6. Step 6: Final answer
    x = 33,423,018.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.