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Finding the Third Proportional to 35,452,692 and 77,117,013

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Solution

The third proportional to 35,452,692 and 77,117,013 is: 167,745,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452,692 : 77,117,013 = 77,117,013 : x
  2. Step 2: Convert to fraction form
    35,452,692/77,117,013 = 77,117,013/x
  3. Step 3: Cross multiply
    35,452,692x = 77,117,013 × 77,117,013
  4. Step 4: Simplify right side
    35,452,692x = 5,947,033,694,042,169
  5. Step 5: Solve for x
    x = 5,947,033,694,042,169/35,452,692
  6. Step 6: Final answer
    x = 167,745,617.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.