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Finding the Third Proportional to 52,005,903.19 and 80,638,175.53

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Solution

The third proportional to 52,005,903.19 and 80,638,175.53 is: 125,034,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005,903.19 : 80,638,175.53 = 80,638,175.53 : x
  2. Step 2: Convert to fraction form
    52,005,903.19/80,638,175.53 = 80,638,175.53/x
  3. Step 3: Cross multiply
    52,005,903.19x = 80,638,175.53 × 80,638,175.53
  4. Step 4: Simplify right side
    52,005,903.19x = 6,502,515,353,008,686
  5. Step 5: Solve for x
    x = 6,502,515,353,008,686/52,005,903.19
  6. Step 6: Final answer
    x = 125,034,177.94

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