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Finding the Third Proportional to 121,086,827,699 and 259,445,037,850

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Solution

The third proportional to 121,086,827,699 and 259,445,037,850 is: 555,896,367,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086,827,699 : 259,445,037,850 = 259,445,037,850 : x
  2. Step 2: Convert to fraction form
    121,086,827,699/259,445,037,850 = 259,445,037,850/x
  3. Step 3: Cross multiply
    121,086,827,699x = 259,445,037,850 × 259,445,037,850
  4. Step 4: Simplify right side
    121,086,827,699x = 67,311,727,664,987,931,410,432
  5. Step 5: Solve for x
    x = 67,311,727,664,987,931,410,432/121,086,827,699
  6. Step 6: Final answer
    x = 555,896,367,458.84

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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.