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Finding the Third Proportional to 3,791,730.56 and 8,114,901.94

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Solution

The third proportional to 3,791,730.56 and 8,114,901.94 is: 17,367,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791,730.56 : 8,114,901.94 = 8,114,901.94 : x
  2. Step 2: Convert to fraction form
    3,791,730.56/8,114,901.94 = 8,114,901.94/x
  3. Step 3: Cross multiply
    3,791,730.56x = 8,114,901.94 × 8,114,901.94
  4. Step 4: Simplify right side
    3,791,730.56x = 65,851,633,455,241.25
  5. Step 5: Solve for x
    x = 65,851,633,455,241.25/3,791,730.56
  6. Step 6: Final answer
    x = 17,367,171.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.