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Finding the Third Proportional to 27,966,019,827 and 59,921,035,782

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Solution

The third proportional to 27,966,019,827 and 59,921,035,782 is: 128,389,043,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966,019,827 : 59,921,035,782 = 59,921,035,782 : x
  2. Step 2: Convert to fraction form
    27,966,019,827/59,921,035,782 = 59,921,035,782/x
  3. Step 3: Cross multiply
    27,966,019,827x = 59,921,035,782 × 59,921,035,782
  4. Step 4: Simplify right side
    27,966,019,827x = 3,590,530,529,187,724,263,424
  5. Step 5: Solve for x
    x = 3,590,530,529,187,724,263,424/27,966,019,827
  6. Step 6: Final answer
    x = 128,389,043,253.17

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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.