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Finding the Third Proportional to 37,753,138.25 and 58,298,732.50

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Solution

The third proportional to 37,753,138.25 and 58,298,732.50 is: 90,025,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,753,138.25 : 58,298,732.50 = 58,298,732.50 : x
  2. Step 2: Convert to fraction form
    37,753,138.25/58,298,732.50 = 58,298,732.50/x
  3. Step 3: Cross multiply
    37,753,138.25x = 58,298,732.50 × 58,298,732.50
  4. Step 4: Simplify right side
    37,753,138.25x = 3,398,742,211,106,556
  5. Step 5: Solve for x
    x = 3,398,742,211,106,556/37,753,138.25
  6. Step 6: Final answer
    x = 90,025,422.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.