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Finding the Third Proportional to 9,355,143,897 and 20,801,950,449.75

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Solution

The third proportional to 9,355,143,897 and 20,801,950,449.75 is: 46,254,888,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355,143,897 : 20,801,950,449.75 = 20,801,950,449.75 : x
  2. Step 2: Convert to fraction form
    9,355,143,897/20,801,950,449.75 = 20,801,950,449.75/x
  3. Step 3: Cross multiply
    9,355,143,897x = 20,801,950,449.75 × 20,801,950,449.75
  4. Step 4: Simplify right side
    9,355,143,897x = 432,721,142,513,854,251,008
  5. Step 5: Solve for x
    x = 432,721,142,513,854,251,008/9,355,143,897
  6. Step 6: Final answer
    x = 46,254,888,997.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.