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Finding the Third Proportional to 6,969,434 and 14,947,765

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Solution

The third proportional to 6,969,434 and 14,947,765 is: 32,059,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969,434 : 14,947,765 = 14,947,765 : x
  2. Step 2: Convert to fraction form
    6,969,434/14,947,765 = 14,947,765/x
  3. Step 3: Cross multiply
    6,969,434x = 14,947,765 × 14,947,765
  4. Step 4: Simplify right side
    6,969,434x = 223,435,678,495,225
  5. Step 5: Solve for x
    x = 223,435,678,495,225/6,969,434
  6. Step 6: Final answer
    x = 32,059,372.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.