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Finding the Third Proportional to 45,676,318.50 and 65,652,909.75

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Solution

The third proportional to 45,676,318.50 and 65,652,909.75 is: 94,366,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,676,318.50 : 65,652,909.75 = 65,652,909.75 : x
  2. Step 2: Convert to fraction form
    45,676,318.50/65,652,909.75 = 65,652,909.75/x
  3. Step 3: Cross multiply
    45,676,318.50x = 65,652,909.75 × 65,652,909.75
  4. Step 4: Simplify right side
    45,676,318.50x = 4,310,304,558,641,645
  5. Step 5: Solve for x
    x = 4,310,304,558,641,645/45,676,318.50
  6. Step 6: Final answer
    x = 94,366,286.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.