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Finding the Third Proportional to 34,947,172.50 and 54,702,348

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Solution

The third proportional to 34,947,172.50 and 54,702,348 is: 85,624,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947,172.50 : 54,702,348 = 54,702,348 : x
  2. Step 2: Convert to fraction form
    34,947,172.50/54,702,348 = 54,702,348/x
  3. Step 3: Cross multiply
    34,947,172.50x = 54,702,348 × 54,702,348
  4. Step 4: Simplify right side
    34,947,172.50x = 2,992,346,876,713,104
  5. Step 5: Solve for x
    x = 2,992,346,876,713,104/34,947,172.50
  6. Step 6: Final answer
    x = 85,624,863.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.