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Finding the Third Proportional to 37,762,042.50 and 58,311,200.53

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Solution

The third proportional to 37,762,042.50 and 58,311,200.53 is: 90,042,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762,042.50 : 58,311,200.53 = 58,311,200.53 : x
  2. Step 2: Convert to fraction form
    37,762,042.50/58,311,200.53 = 58,311,200.53/x
  3. Step 3: Cross multiply
    37,762,042.50x = 58,311,200.53 × 58,311,200.53
  4. Step 4: Simplify right side
    37,762,042.50x = 3,400,196,107,395,650.50
  5. Step 5: Solve for x
    x = 3,400,196,107,395,650.50/37,762,042.50
  6. Step 6: Final answer
    x = 90,042,695.85

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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.