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Finding the Third Proportional to 9,604,540,032 and 20,812,112,184

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Solution

The third proportional to 9,604,540,032 and 20,812,112,184 is: 45,097,840,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604,540,032 : 20,812,112,184 = 20,812,112,184 : x
  2. Step 2: Convert to fraction form
    9,604,540,032/20,812,112,184 = 20,812,112,184/x
  3. Step 3: Cross multiply
    9,604,540,032x = 20,812,112,184 × 20,812,112,184
  4. Step 4: Simplify right side
    9,604,540,032x = 433,144,013,559,401,218,048
  5. Step 5: Solve for x
    x = 433,144,013,559,401,218,048/9,604,540,032
  6. Step 6: Final answer
    x = 45,097,840,408.42

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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.