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Finding the Third Proportional to 2,371,254.75 and 5,203,389.38

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Solution

The third proportional to 2,371,254.75 and 5,203,389.38 is: 11,418,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,254.75 : 5,203,389.38 = 5,203,389.38 : x
  2. Step 2: Convert to fraction form
    2,371,254.75/5,203,389.38 = 5,203,389.38/x
  3. Step 3: Cross multiply
    2,371,254.75x = 5,203,389.38 × 5,203,389.38
  4. Step 4: Simplify right side
    2,371,254.75x = 27,075,260,987,862.89
  5. Step 5: Solve for x
    x = 27,075,260,987,862.89/2,371,254.75
  6. Step 6: Final answer
    x = 11,418,115.66

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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.