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Finding the Third Proportional to 54,299,502 and 75,954,294

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Solution

The third proportional to 54,299,502 and 75,954,294 is: 106,245,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299,502 : 75,954,294 = 75,954,294 : x
  2. Step 2: Convert to fraction form
    54,299,502/75,954,294 = 75,954,294/x
  3. Step 3: Cross multiply
    54,299,502x = 75,954,294 × 75,954,294
  4. Step 4: Simplify right side
    54,299,502x = 5,769,054,777,038,436
  5. Step 5: Solve for x
    x = 5,769,054,777,038,436/54,299,502
  6. Step 6: Final answer
    x = 106,245,077.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.