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Finding the Third Proportional to 4,510,950.75 and 10,645,036.88

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Solution

The third proportional to 4,510,950.75 and 10,645,036.88 is: 25,120,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,950.75 : 10,645,036.88 = 10,645,036.88 : x
  2. Step 2: Convert to fraction form
    4,510,950.75/10,645,036.88 = 10,645,036.88/x
  3. Step 3: Cross multiply
    4,510,950.75x = 10,645,036.88 × 10,645,036.88
  4. Step 4: Simplify right side
    4,510,950.75x = 113,316,810,070,109.77
  5. Step 5: Solve for x
    x = 113,316,810,070,109.77/4,510,950.75
  6. Step 6: Final answer
    x = 25,120,382.90

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Why These Related Problems?

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