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Finding the Third Proportional to 5,716,696,248 and 12,383,111,331

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Solution

The third proportional to 5,716,696,248 and 12,383,111,331 is: 26,823,437,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716,696,248 : 12,383,111,331 = 12,383,111,331 : x
  2. Step 2: Convert to fraction form
    5,716,696,248/12,383,111,331 = 12,383,111,331/x
  3. Step 3: Cross multiply
    5,716,696,248x = 12,383,111,331 × 12,383,111,331
  4. Step 4: Simplify right side
    5,716,696,248x = 153,341,446,235,940,585,472
  5. Step 5: Solve for x
    x = 153,341,446,235,940,585,472/5,716,696,248
  6. Step 6: Final answer
    x = 26,823,437,801.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.