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Finding the Third Proportional to 11,963,818,968 and 26,179,163,202

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Solution

The third proportional to 11,963,818,968 and 26,179,163,202 is: 57,285,101,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963,818,968 : 26,179,163,202 = 26,179,163,202 : x
  2. Step 2: Convert to fraction form
    11,963,818,968/26,179,163,202 = 26,179,163,202/x
  3. Step 3: Cross multiply
    11,963,818,968x = 26,179,163,202 × 26,179,163,202
  4. Step 4: Simplify right side
    11,963,818,968x = 685,348,585,956,950,933,504
  5. Step 5: Solve for x
    x = 685,348,585,956,950,933,504/11,963,818,968
  6. Step 6: Final answer
    x = 57,285,101,671.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.