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Finding the Third Proportional to 4,016,293.50 and 8,829,748.50

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Solution

The third proportional to 4,016,293.50 and 8,829,748.50 is: 19,412,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016,293.50 : 8,829,748.50 = 8,829,748.50 : x
  2. Step 2: Convert to fraction form
    4,016,293.50/8,829,748.50 = 8,829,748.50/x
  3. Step 3: Cross multiply
    4,016,293.50x = 8,829,748.50 × 8,829,748.50
  4. Step 4: Simplify right side
    4,016,293.50x = 77,964,458,573,252.25
  5. Step 5: Solve for x
    x = 77,964,458,573,252.25/4,016,293.50
  6. Step 6: Final answer
    x = 19,412,042.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.