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Finding the Third Proportional to 2,669,278.50 and 5,758,461

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Solution

The third proportional to 2,669,278.50 and 5,758,461 is: 12,422,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669,278.50 : 5,758,461 = 5,758,461 : x
  2. Step 2: Convert to fraction form
    2,669,278.50/5,758,461 = 5,758,461/x
  3. Step 3: Cross multiply
    2,669,278.50x = 5,758,461 × 5,758,461
  4. Step 4: Simplify right side
    2,669,278.50x = 33,159,873,088,521
  5. Step 5: Solve for x
    x = 33,159,873,088,521/2,669,278.50
  6. Step 6: Final answer
    x = 12,422,785.07

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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.