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Finding the Third Proportional to 27,966,019,829 and 59,921,035,786

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Solution

The third proportional to 27,966,019,829 and 59,921,035,786 is: 128,389,043,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966,019,829 : 59,921,035,786 = 59,921,035,786 : x
  2. Step 2: Convert to fraction form
    27,966,019,829/59,921,035,786 = 59,921,035,786/x
  3. Step 3: Cross multiply
    27,966,019,829x = 59,921,035,786 × 59,921,035,786
  4. Step 4: Simplify right side
    27,966,019,829x = 3,590,530,529,667,092,840,448
  5. Step 5: Solve for x
    x = 3,590,530,529,667,092,840,448/27,966,019,829
  6. Step 6: Final answer
    x = 128,389,043,261.13

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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.