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Finding the Third Proportional to 25,885,698,930 and 55,702,998,378

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Solution

The third proportional to 25,885,698,930 and 55,702,998,378 is: 119,866,341,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885,698,930 : 55,702,998,378 = 55,702,998,378 : x
  2. Step 2: Convert to fraction form
    25,885,698,930/55,702,998,378 = 55,702,998,378/x
  3. Step 3: Cross multiply
    25,885,698,930x = 55,702,998,378 × 55,702,998,378
  4. Step 4: Simplify right side
    25,885,698,930x = 3,102,824,028,299,470,569,472
  5. Step 5: Solve for x
    x = 3,102,824,028,299,470,569,472/25,885,698,930
  6. Step 6: Final answer
    x = 119,866,341,515.06

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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.