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Finding the Third Proportional to 429,361,242.75 and 934,750,843.88

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Solution

The third proportional to 429,361,242.75 and 934,750,843.88 is: 2,035,020,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,361,242.75 : 934,750,843.88 = 934,750,843.88 : x
  2. Step 2: Convert to fraction form
    429,361,242.75/934,750,843.88 = 934,750,843.88/x
  3. Step 3: Cross multiply
    429,361,242.75x = 934,750,843.88 × 934,750,843.88
  4. Step 4: Simplify right side
    429,361,242.75x = 873,759,140,125,024,640
  5. Step 5: Solve for x
    x = 873,759,140,125,024,640/429,361,242.75
  6. Step 6: Final answer
    x = 2,035,020,987.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.