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Finding the Third Proportional to 6,419,921,553 and 13,020,356,682

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Solution

The third proportional to 6,419,921,553 and 13,020,356,682 is: 26,406,816,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,921,553 : 13,020,356,682 = 13,020,356,682 : x
  2. Step 2: Convert to fraction form
    6,419,921,553/13,020,356,682 = 13,020,356,682/x
  3. Step 3: Cross multiply
    6,419,921,553x = 13,020,356,682 × 13,020,356,682
  4. Step 4: Simplify right side
    6,419,921,553x = 169,529,688,126,502,043,648
  5. Step 5: Solve for x
    x = 169,529,688,126,502,043,648/6,419,921,553
  6. Step 6: Final answer
    x = 26,406,816,146.73

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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.