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Finding the Third Proportional to 34,326,508.50 and 51,808,986.56

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Solution

The third proportional to 34,326,508.50 and 51,808,986.56 is: 78,195,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,326,508.50 : 51,808,986.56 = 51,808,986.56 : x
  2. Step 2: Convert to fraction form
    34,326,508.50/51,808,986.56 = 51,808,986.56/x
  3. Step 3: Cross multiply
    34,326,508.50x = 51,808,986.56 × 51,808,986.56
  4. Step 4: Simplify right side
    34,326,508.50x = 2,684,171,088,633,305.50
  5. Step 5: Solve for x
    x = 2,684,171,088,633,305.50/34,326,508.50
  6. Step 6: Final answer
    x = 78,195,284.23

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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.