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Finding the Third Proportional to 56,594,280 and 121,257,120

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Solution

The third proportional to 56,594,280 and 121,257,120 is: 259,801,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,594,280 : 121,257,120 = 121,257,120 : x
  2. Step 2: Convert to fraction form
    56,594,280/121,257,120 = 121,257,120/x
  3. Step 3: Cross multiply
    56,594,280x = 121,257,120 × 121,257,120
  4. Step 4: Simplify right side
    56,594,280x = 14,703,289,150,694,400
  5. Step 5: Solve for x
    x = 14,703,289,150,694,400/56,594,280
  6. Step 6: Final answer
    x = 259,801,682.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.