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Finding the Third Proportional to 2,267,312,422,401 and 4,996,775,338,236

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Solution

The third proportional to 2,267,312,422,401 and 4,996,775,338,236 is: 11,012,052,654,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,312,422,401 : 4,996,775,338,236 = 4,996,775,338,236 : x
  2. Step 2: Convert to fraction form
    2,267,312,422,401/4,996,775,338,236 = 4,996,775,338,236/x
  3. Step 3: Cross multiply
    2,267,312,422,401x = 4,996,775,338,236 × 4,996,775,338,236
  4. Step 4: Simplify right side
    2,267,312,422,401x = 24,967,763,780,803,493,988,663,296
  5. Step 5: Solve for x
    x = 24,967,763,780,803,493,988,663,296/2,267,312,422,401
  6. Step 6: Final answer
    x = 11,012,052,654,994.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.