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Finding the Third Proportional to 2,995,521.75 and 6,561,205.03

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Solution

The third proportional to 2,995,521.75 and 6,561,205.03 is: 14,371,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995,521.75 : 6,561,205.03 = 6,561,205.03 : x
  2. Step 2: Convert to fraction form
    2,995,521.75/6,561,205.03 = 6,561,205.03/x
  3. Step 3: Cross multiply
    2,995,521.75x = 6,561,205.03 × 6,561,205.03
  4. Step 4: Simplify right side
    2,995,521.75x = 43,049,411,462,100.31
  5. Step 5: Solve for x
    x = 43,049,411,462,100.31/2,995,521.75
  6. Step 6: Final answer
    x = 14,371,256.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.