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Finding the Third Proportional to 121,065,427,222 and 260,097,353,320

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Solution

The third proportional to 121,065,427,222 and 260,097,353,320 is: 558,793,990,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,065,427,222 : 260,097,353,320 = 260,097,353,320 : x
  2. Step 2: Convert to fraction form
    121,065,427,222/260,097,353,320 = 260,097,353,320/x
  3. Step 3: Cross multiply
    121,065,427,222x = 260,097,353,320 × 260,097,353,320
  4. Step 4: Simplify right side
    121,065,427,222x = 67,650,633,204,068,918,493,184
  5. Step 5: Solve for x
    x = 67,650,633,204,068,918,493,184/121,065,427,222
  6. Step 6: Final answer
    x = 558,793,990,624.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.