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Finding the Third Proportional to 33,894,762 and 74,127,447

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Solution

The third proportional to 33,894,762 and 74,127,447 is: 162,115,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894,762 : 74,127,447 = 74,127,447 : x
  2. Step 2: Convert to fraction form
    33,894,762/74,127,447 = 74,127,447/x
  3. Step 3: Cross multiply
    33,894,762x = 74,127,447 × 74,127,447
  4. Step 4: Simplify right side
    33,894,762x = 5,494,878,398,737,809
  5. Step 5: Solve for x
    x = 5,494,878,398,737,809/33,894,762
  6. Step 6: Final answer
    x = 162,115,857.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.