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Finding the Third Proportional to 75,578,947.50 and 113,348,710.50

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Solution

The third proportional to 75,578,947.50 and 113,348,710.50 is: 169,993,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,947.50 : 113,348,710.50 = 113,348,710.50 : x
  2. Step 2: Convert to fraction form
    75,578,947.50/113,348,710.50 = 113,348,710.50/x
  3. Step 3: Cross multiply
    75,578,947.50x = 113,348,710.50 × 113,348,710.50
  4. Step 4: Simplify right side
    75,578,947.50x = 12,847,930,172,012,810
  5. Step 5: Solve for x
    x = 12,847,930,172,012,810/75,578,947.50
  6. Step 6: Final answer
    x = 169,993,504.77

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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.