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Finding the Third Proportional to 34,382,201.50 and 52,016,230.50

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Solution

The third proportional to 34,382,201.50 and 52,016,230.50 is: 78,694,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382,201.50 : 52,016,230.50 = 52,016,230.50 : x
  2. Step 2: Convert to fraction form
    34,382,201.50/52,016,230.50 = 52,016,230.50/x
  3. Step 3: Cross multiply
    34,382,201.50x = 52,016,230.50 × 52,016,230.50
  4. Step 4: Simplify right side
    34,382,201.50x = 2,705,688,235,429,130
  5. Step 5: Solve for x
    x = 2,705,688,235,429,130/34,382,201.50
  6. Step 6: Final answer
    x = 78,694,444.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.