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Finding the Third Proportional to 34,533,936 and 49,891,536

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Solution

The third proportional to 34,533,936 and 49,891,536 is: 72,078,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533,936 : 49,891,536 = 49,891,536 : x
  2. Step 2: Convert to fraction form
    34,533,936/49,891,536 = 49,891,536/x
  3. Step 3: Cross multiply
    34,533,936x = 49,891,536 × 49,891,536
  4. Step 4: Simplify right side
    34,533,936x = 2,489,165,364,439,296
  5. Step 5: Solve for x
    x = 2,489,165,364,439,296/34,533,936
  6. Step 6: Final answer
    x = 72,078,820.22

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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.