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Finding the Third Proportional to 45,280,562 and 97,769,422

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Solution

The third proportional to 45,280,562 and 97,769,422 is: 211,102,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,280,562 : 97,769,422 = 97,769,422 : x
  2. Step 2: Convert to fraction form
    45,280,562/97,769,422 = 97,769,422/x
  3. Step 3: Cross multiply
    45,280,562x = 97,769,422 × 97,769,422
  4. Step 4: Simplify right side
    45,280,562x = 9,558,859,878,214,084
  5. Step 5: Solve for x
    x = 9,558,859,878,214,084/45,280,562
  6. Step 6: Final answer
    x = 211,102,942.54

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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.