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Finding the Third Proportional to 44,926,120 and 97,025,456

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Solution

The third proportional to 44,926,120 and 97,025,456 is: 209,542,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,926,120 : 97,025,456 = 97,025,456 : x
  2. Step 2: Convert to fraction form
    44,926,120/97,025,456 = 97,025,456/x
  3. Step 3: Cross multiply
    44,926,120x = 97,025,456 × 97,025,456
  4. Step 4: Simplify right side
    44,926,120x = 9,413,939,112,007,936
  5. Step 5: Solve for x
    x = 9,413,939,112,007,936/44,926,120
  6. Step 6: Final answer
    x = 209,542,669.43

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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.