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Finding the Third Proportional to 25,885,698,912 and 55,702,998,342

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Solution

The third proportional to 25,885,698,912 and 55,702,998,342 is: 119,866,341,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885,698,912 : 55,702,998,342 = 55,702,998,342 : x
  2. Step 2: Convert to fraction form
    25,885,698,912/55,702,998,342 = 55,702,998,342/x
  3. Step 3: Cross multiply
    25,885,698,912x = 55,702,998,342 × 55,702,998,342
  4. Step 4: Simplify right side
    25,885,698,912x = 3,102,824,024,288,854,540,288
  5. Step 5: Solve for x
    x = 3,102,824,024,288,854,540,288/25,885,698,912
  6. Step 6: Final answer
    x = 119,866,341,443.48

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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.