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Finding the Third Proportional to 9,649,659,924 and 21,008,033,496

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Solution

The third proportional to 9,649,659,924 and 21,008,033,496 is: 45,736,064,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649,659,924 : 21,008,033,496 = 21,008,033,496 : x
  2. Step 2: Convert to fraction form
    9,649,659,924/21,008,033,496 = 21,008,033,496/x
  3. Step 3: Cross multiply
    9,649,659,924x = 21,008,033,496 × 21,008,033,496
  4. Step 4: Simplify right side
    9,649,659,924x = 441,337,471,369,057,992,704
  5. Step 5: Solve for x
    x = 441,337,471,369,057,992,704/9,649,659,924
  6. Step 6: Final answer
    x = 45,736,064,777.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.