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Finding the Third Proportional to 33,528,720 and 51,255,414

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Solution

The third proportional to 33,528,720 and 51,255,414 is: 78,354,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528,720 : 51,255,414 = 51,255,414 : x
  2. Step 2: Convert to fraction form
    33,528,720/51,255,414 = 51,255,414/x
  3. Step 3: Cross multiply
    33,528,720x = 51,255,414 × 51,255,414
  4. Step 4: Simplify right side
    33,528,720x = 2,627,117,464,311,396
  5. Step 5: Solve for x
    x = 2,627,117,464,311,396/33,528,720
  6. Step 6: Final answer
    x = 78,354,242.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.