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Finding the Third Proportional to 6,419,921,544 and 13,020,356,664

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Solution

The third proportional to 6,419,921,544 and 13,020,356,664 is: 26,406,816,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,921,544 : 13,020,356,664 = 13,020,356,664 : x
  2. Step 2: Convert to fraction form
    6,419,921,544/13,020,356,664 = 13,020,356,664/x
  3. Step 3: Cross multiply
    6,419,921,544x = 13,020,356,664 × 13,020,356,664
  4. Step 4: Simplify right side
    6,419,921,544x = 169,529,687,657,769,205,760
  5. Step 5: Solve for x
    x = 169,529,687,657,769,205,760/6,419,921,544
  6. Step 6: Final answer
    x = 26,406,816,110.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.