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Finding the Third Proportional to 4,045,767.75 and 8,606,432.25

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Solution

The third proportional to 4,045,767.75 and 8,606,432.25 is: 18,308,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045,767.75 : 8,606,432.25 = 8,606,432.25 : x
  2. Step 2: Convert to fraction form
    4,045,767.75/8,606,432.25 = 8,606,432.25/x
  3. Step 3: Cross multiply
    4,045,767.75x = 8,606,432.25 × 8,606,432.25
  4. Step 4: Simplify right side
    4,045,767.75x = 74,070,676,073,840.06
  5. Step 5: Solve for x
    x = 74,070,676,073,840.06/4,045,767.75
  6. Step 6: Final answer
    x = 18,308,187.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.