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Finding the Third Proportional to 29,211,471 and 45,410,206.50

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Solution

The third proportional to 29,211,471 and 45,410,206.50 is: 70,591,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211,471 : 45,410,206.50 = 45,410,206.50 : x
  2. Step 2: Convert to fraction form
    29,211,471/45,410,206.50 = 45,410,206.50/x
  3. Step 3: Cross multiply
    29,211,471x = 45,410,206.50 × 45,410,206.50
  4. Step 4: Simplify right side
    29,211,471x = 2,062,086,854,372,642.25
  5. Step 5: Solve for x
    x = 2,062,086,854,372,642.25/29,211,471
  6. Step 6: Final answer
    x = 70,591,681.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.