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Finding the Third Proportional to 38,282,740.50 and 58,843,340.25

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Solution

The third proportional to 38,282,740.50 and 58,843,340.25 is: 90,446,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282,740.50 : 58,843,340.25 = 58,843,340.25 : x
  2. Step 2: Convert to fraction form
    38,282,740.50/58,843,340.25 = 58,843,340.25/x
  3. Step 3: Cross multiply
    38,282,740.50x = 58,843,340.25 × 58,843,340.25
  4. Step 4: Simplify right side
    38,282,740.50x = 3,462,538,691,777,270
  5. Step 5: Solve for x
    x = 3,462,538,691,777,270/38,282,740.50
  6. Step 6: Final answer
    x = 90,446,468.74

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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.