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Finding the Third Proportional to 33,675,602 and 72,740,014

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Solution

The third proportional to 33,675,602 and 72,740,014 is: 157,119,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,602 : 72,740,014 = 72,740,014 : x
  2. Step 2: Convert to fraction form
    33,675,602/72,740,014 = 72,740,014/x
  3. Step 3: Cross multiply
    33,675,602x = 72,740,014 × 72,740,014
  4. Step 4: Simplify right side
    33,675,602x = 5,291,109,636,720,196
  5. Step 5: Solve for x
    x = 5,291,109,636,720,196/33,675,602
  6. Step 6: Final answer
    x = 157,119,971.80

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