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Finding the Third Proportional to 33,675,697.69 and 72,740,143.13

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Solution

The third proportional to 33,675,697.69 and 72,740,143.13 is: 157,120,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,697.69 : 72,740,143.13 = 72,740,143.13 : x
  2. Step 2: Convert to fraction form
    33,675,697.69/72,740,143.13 = 72,740,143.13/x
  3. Step 3: Cross multiply
    33,675,697.69x = 72,740,143.13 × 72,740,143.13
  4. Step 4: Simplify right side
    33,675,697.69x = 5,291,128,421,845,485
  5. Step 5: Solve for x
    x = 5,291,128,421,845,485/33,675,697.69
  6. Step 6: Final answer
    x = 157,120,083.18

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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.