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Finding the Third Proportional to 4,206,476,646 and 9,110,989,950

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Solution

The third proportional to 4,206,476,646 and 9,110,989,950 is: 19,733,887,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,476,646 : 9,110,989,950 = 9,110,989,950 : x
  2. Step 2: Convert to fraction form
    4,206,476,646/9,110,989,950 = 9,110,989,950/x
  3. Step 3: Cross multiply
    4,206,476,646x = 9,110,989,950 × 9,110,989,950
  4. Step 4: Simplify right side
    4,206,476,646x = 83,010,137,869,000,998,912
  5. Step 5: Solve for x
    x = 83,010,137,869,000,998,912/4,206,476,646
  6. Step 6: Final answer
    x = 19,733,887,729.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.