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Finding the Third Proportional to 3,264,932,897 and 6,666,905,401

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Solution

The third proportional to 3,264,932,897 and 6,666,905,401 is: 13,613,642,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264,932,897 : 6,666,905,401 = 6,666,905,401 : x
  2. Step 2: Convert to fraction form
    3,264,932,897/6,666,905,401 = 6,666,905,401/x
  3. Step 3: Cross multiply
    3,264,932,897x = 6,666,905,401 × 6,666,905,401
  4. Step 4: Simplify right side
    3,264,932,897x = 44,447,627,625,882,968,064
  5. Step 5: Solve for x
    x = 44,447,627,625,882,968,064/3,264,932,897
  6. Step 6: Final answer
    x = 13,613,642,003.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.