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Finding the Third Proportional to 4,753,004.06 and 7,152,241.78

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Solution

The third proportional to 4,753,004.06 and 7,152,241.78 is: 10,762,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753,004.06 : 7,152,241.78 = 7,152,241.78 : x
  2. Step 2: Convert to fraction form
    4,753,004.06/7,152,241.78 = 7,152,241.78/x
  3. Step 3: Cross multiply
    4,753,004.06x = 7,152,241.78 × 7,152,241.78
  4. Step 4: Simplify right side
    4,753,004.06x = 51,154,562,497,458.17
  5. Step 5: Solve for x
    x = 51,154,562,497,458.17/4,753,004.06
  6. Step 6: Final answer
    x = 10,762,574.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.