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Finding the Third Proportional to 3,159,053 and 6,822,451

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Solution

The third proportional to 3,159,053 and 6,822,451 is: 14,734,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,053 : 6,822,451 = 6,822,451 : x
  2. Step 2: Convert to fraction form
    3,159,053/6,822,451 = 6,822,451/x
  3. Step 3: Cross multiply
    3,159,053x = 6,822,451 × 6,822,451
  4. Step 4: Simplify right side
    3,159,053x = 46,545,837,647,401
  5. Step 5: Solve for x
    x = 46,545,837,647,401/3,159,053
  6. Step 6: Final answer
    x = 14,734,111.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.