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Finding the Third Proportional to 49,529,853 and 75,042,729

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Solution

The third proportional to 49,529,853 and 75,042,729 is: 113,697,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529,853 : 75,042,729 = 75,042,729 : x
  2. Step 2: Convert to fraction form
    49,529,853/75,042,729 = 75,042,729/x
  3. Step 3: Cross multiply
    49,529,853x = 75,042,729 × 75,042,729
  4. Step 4: Simplify right side
    49,529,853x = 5,631,411,175,767,441
  5. Step 5: Solve for x
    x = 5,631,411,175,767,441/49,529,853
  6. Step 6: Final answer
    x = 113,697,312.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.