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Finding the Third Proportional to 49,109,747 and 106,938,449

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Solution

The third proportional to 49,109,747 and 106,938,449 is: 232,862,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,109,747 : 106,938,449 = 106,938,449 : x
  2. Step 2: Convert to fraction form
    49,109,747/106,938,449 = 106,938,449/x
  3. Step 3: Cross multiply
    49,109,747x = 106,938,449 × 106,938,449
  4. Step 4: Simplify right side
    49,109,747x = 11,435,831,874,525,600
  5. Step 5: Solve for x
    x = 11,435,831,874,525,600/49,109,747
  6. Step 6: Final answer
    x = 232,862,773.14

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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.