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Finding the Third Proportional to 10,780,969.50 and 16,283,740.50

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Solution

The third proportional to 10,780,969.50 and 16,283,740.50 is: 24,595,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780,969.50 : 16,283,740.50 = 16,283,740.50 : x
  2. Step 2: Convert to fraction form
    10,780,969.50/16,283,740.50 = 16,283,740.50/x
  3. Step 3: Cross multiply
    10,780,969.50x = 16,283,740.50 × 16,283,740.50
  4. Step 4: Simplify right side
    10,780,969.50x = 265,160,204,671,340.25
  5. Step 5: Solve for x
    x = 265,160,204,671,340.25/10,780,969.50
  6. Step 6: Final answer
    x = 24,595,209.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.