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Finding the Third Proportional to 33,675,511 and 72,739,791

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Solution

The third proportional to 33,675,511 and 72,739,791 is: 157,119,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,511 : 72,739,791 = 72,739,791 : x
  2. Step 2: Convert to fraction form
    33,675,511/72,739,791 = 72,739,791/x
  3. Step 3: Cross multiply
    33,675,511x = 72,739,791 × 72,739,791
  4. Step 4: Simplify right side
    33,675,511x = 5,291,077,194,723,681
  5. Step 5: Solve for x
    x = 5,291,077,194,723,681/33,675,511
  6. Step 6: Final answer
    x = 157,119,433.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.