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Finding the Third Proportional to 7,813,854.84 and 8,748,027.84

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Solution

The third proportional to 7,813,854.84 and 8,748,027.84 is: 9,793,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813,854.84 : 8,748,027.84 = 8,748,027.84 : x
  2. Step 2: Convert to fraction form
    7,813,854.84/8,748,027.84 = 8,748,027.84/x
  3. Step 3: Cross multiply
    7,813,854.84x = 8,748,027.84 × 8,748,027.84
  4. Step 4: Simplify right side
    7,813,854.84x = 76,527,991,155,025.28
  5. Step 5: Solve for x
    x = 76,527,991,155,025.28/7,813,854.84
  6. Step 6: Final answer
    x = 9,793,884.41

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.