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Finding the Third Proportional to 7,602,419 and 15,743,785.50

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Solution

The third proportional to 7,602,419 and 15,743,785.50 is: 32,603,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602,419 : 15,743,785.50 = 15,743,785.50 : x
  2. Step 2: Convert to fraction form
    7,602,419/15,743,785.50 = 15,743,785.50/x
  3. Step 3: Cross multiply
    7,602,419x = 15,743,785.50 × 15,743,785.50
  4. Step 4: Simplify right side
    7,602,419x = 247,866,781,870,010.25
  5. Step 5: Solve for x
    x = 247,866,781,870,010.25/7,602,419
  6. Step 6: Final answer
    x = 32,603,672.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.