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Finding the Third Proportional to 34,087,546 and 52,889,815.50

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Solution

The third proportional to 34,087,546 and 52,889,815.50 is: 82,063,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,087,546 : 52,889,815.50 = 52,889,815.50 : x
  2. Step 2: Convert to fraction form
    34,087,546/52,889,815.50 = 52,889,815.50/x
  3. Step 3: Cross multiply
    34,087,546x = 52,889,815.50 × 52,889,815.50
  4. Step 4: Simplify right side
    34,087,546x = 2,797,332,583,624,040
  5. Step 5: Solve for x
    x = 2,797,332,583,624,040/34,087,546
  6. Step 6: Final answer
    x = 82,063,184.71

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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.