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Finding the Third Proportional to 25,885,698,926 and 55,702,998,370

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Solution

The third proportional to 25,885,698,926 and 55,702,998,370 is: 119,866,341,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885,698,926 : 55,702,998,370 = 55,702,998,370 : x
  2. Step 2: Convert to fraction form
    25,885,698,926/55,702,998,370 = 55,702,998,370/x
  3. Step 3: Cross multiply
    25,885,698,926x = 55,702,998,370 × 55,702,998,370
  4. Step 4: Simplify right side
    25,885,698,926x = 3,102,824,027,408,222,912,512
  5. Step 5: Solve for x
    x = 3,102,824,027,408,222,912,512/25,885,698,926
  6. Step 6: Final answer
    x = 119,866,341,499.16

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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.