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Finding the Third Proportional to 120,783,441,481 and 262,772,850,127

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Solution

The third proportional to 120,783,441,481 and 262,772,850,127 is: 571,680,769,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783,441,481 : 262,772,850,127 = 262,772,850,127 : x
  2. Step 2: Convert to fraction form
    120,783,441,481/262,772,850,127 = 262,772,850,127/x
  3. Step 3: Cross multiply
    120,783,441,481x = 262,772,850,127 × 262,772,850,127
  4. Step 4: Simplify right side
    120,783,441,481x = 69,049,570,763,866,799,865,856
  5. Step 5: Solve for x
    x = 69,049,570,763,866,799,865,856/120,783,441,481
  6. Step 6: Final answer
    x = 571,680,769,459.85

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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.