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Finding the Third Proportional to 52,444,840.50 and 82,088,815.50

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Solution

The third proportional to 52,444,840.50 and 82,088,815.50 is: 128,488,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,444,840.50 : 82,088,815.50 = 82,088,815.50 : x
  2. Step 2: Convert to fraction form
    52,444,840.50/82,088,815.50 = 82,088,815.50/x
  3. Step 3: Cross multiply
    52,444,840.50x = 82,088,815.50 × 82,088,815.50
  4. Step 4: Simplify right side
    52,444,840.50x = 6,738,573,630,193,040
  5. Step 5: Solve for x
    x = 6,738,573,630,193,040/52,444,840.50
  6. Step 6: Final answer
    x = 128,488,781.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.