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Finding the Third Proportional to 16,013,100,411 and 33,351,577,497

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Solution

The third proportional to 16,013,100,411 and 33,351,577,497 is: 69,463,607,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013,100,411 : 33,351,577,497 = 33,351,577,497 : x
  2. Step 2: Convert to fraction form
    16,013,100,411/33,351,577,497 = 33,351,577,497/x
  3. Step 3: Cross multiply
    16,013,100,411x = 33,351,577,497 × 33,351,577,497
  4. Step 4: Simplify right side
    16,013,100,411x = 1,112,327,721,538,396,749,824
  5. Step 5: Solve for x
    x = 1,112,327,721,538,396,749,824/16,013,100,411
  6. Step 6: Final answer
    x = 69,463,607,483.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.