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Finding the Third Proportional to 29,906,413 and 44,809,729

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Solution

The third proportional to 29,906,413 and 44,809,729 is: 67,139,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906,413 : 44,809,729 = 44,809,729 : x
  2. Step 2: Convert to fraction form
    29,906,413/44,809,729 = 44,809,729/x
  3. Step 3: Cross multiply
    29,906,413x = 44,809,729 × 44,809,729
  4. Step 4: Simplify right side
    29,906,413x = 2,007,911,813,053,441
  5. Step 5: Solve for x
    x = 2,007,911,813,053,441/29,906,413
  6. Step 6: Final answer
    x = 67,139,840.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.