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Finding the Third Proportional to 10,140,895,064 and 21,677,383,834

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Solution

The third proportional to 10,140,895,064 and 21,677,383,834 is: 46,338,017,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140,895,064 : 21,677,383,834 = 21,677,383,834 : x
  2. Step 2: Convert to fraction form
    10,140,895,064/21,677,383,834 = 21,677,383,834/x
  3. Step 3: Cross multiply
    10,140,895,064x = 21,677,383,834 × 21,677,383,834
  4. Step 4: Simplify right side
    10,140,895,064x = 469,908,969,886,564,548,608
  5. Step 5: Solve for x
    x = 469,908,969,886,564,548,608/10,140,895,064
  6. Step 6: Final answer
    x = 46,338,017,198.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.