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Finding the Third Proportional to 574,763,863.50 and 1,258,340,203.50

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Solution

The third proportional to 574,763,863.50 and 1,258,340,203.50 is: 2,754,905,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,763,863.50 : 1,258,340,203.50 = 1,258,340,203.50 : x
  2. Step 2: Convert to fraction form
    574,763,863.50/1,258,340,203.50 = 1,258,340,203.50/x
  3. Step 3: Cross multiply
    574,763,863.50x = 1,258,340,203.50 × 1,258,340,203.50
  4. Step 4: Simplify right side
    574,763,863.50x = 1,583,420,067,744,421,376
  5. Step 5: Solve for x
    x = 1,583,420,067,744,421,376/574,763,863.50
  6. Step 6: Final answer
    x = 2,754,905,393.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.