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Finding the Third Proportional to 52,140,808.69 and 80,662,933.69

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Solution

The third proportional to 52,140,808.69 and 80,662,933.69 is: 124,787,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140,808.69 : 80,662,933.69 = 80,662,933.69 : x
  2. Step 2: Convert to fraction form
    52,140,808.69/80,662,933.69 = 80,662,933.69/x
  3. Step 3: Cross multiply
    52,140,808.69x = 80,662,933.69 × 80,662,933.69
  4. Step 4: Simplify right side
    52,140,808.69x = 6,506,508,871,074,022
  5. Step 5: Solve for x
    x = 6,506,508,871,074,022/52,140,808.69
  6. Step 6: Final answer
    x = 124,787,264.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.