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Finding the Third Proportional to 16,390,644,886 and 35,267,232,906

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Solution

The third proportional to 16,390,644,886 and 35,267,232,906 is: 75,883,391,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390,644,886 : 35,267,232,906 = 35,267,232,906 : x
  2. Step 2: Convert to fraction form
    16,390,644,886/35,267,232,906 = 35,267,232,906/x
  3. Step 3: Cross multiply
    16,390,644,886x = 35,267,232,906 × 35,267,232,906
  4. Step 4: Simplify right side
    16,390,644,886x = 1,243,777,716,846,049,099,776
  5. Step 5: Solve for x
    x = 1,243,777,716,846,049,099,776/16,390,644,886
  6. Step 6: Final answer
    x = 75,883,391,135.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.