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Finding the Third Proportional to 7,486,740 and 15,328,138.50

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Solution

The third proportional to 7,486,740 and 15,328,138.50 is: 31,382,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486,740 : 15,328,138.50 = 15,328,138.50 : x
  2. Step 2: Convert to fraction form
    7,486,740/15,328,138.50 = 15,328,138.50/x
  3. Step 3: Cross multiply
    7,486,740x = 15,328,138.50 × 15,328,138.50
  4. Step 4: Simplify right side
    7,486,740x = 234,951,829,875,182.25
  5. Step 5: Solve for x
    x = 234,951,829,875,182.25/7,486,740
  6. Step 6: Final answer
    x = 31,382,394.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.