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Finding the Third Proportional to 8,020,831.50 and 16,702,618.50

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Solution

The third proportional to 8,020,831.50 and 16,702,618.50 is: 34,781,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,831.50 : 16,702,618.50 = 16,702,618.50 : x
  2. Step 2: Convert to fraction form
    8,020,831.50/16,702,618.50 = 16,702,618.50/x
  3. Step 3: Cross multiply
    8,020,831.50x = 16,702,618.50 × 16,702,618.50
  4. Step 4: Simplify right side
    8,020,831.50x = 278,977,464,756,542.25
  5. Step 5: Solve for x
    x = 278,977,464,756,542.25/8,020,831.50
  6. Step 6: Final answer
    x = 34,781,613.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.