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Finding the Third Proportional to 1,575,545,428 and 3,647,102,456

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Solution

The third proportional to 1,575,545,428 and 3,647,102,456 is: 8,442,381,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,545,428 : 3,647,102,456 = 3,647,102,456 : x
  2. Step 2: Convert to fraction form
    1,575,545,428/3,647,102,456 = 3,647,102,456/x
  3. Step 3: Cross multiply
    1,575,545,428x = 3,647,102,456 × 3,647,102,456
  4. Step 4: Simplify right side
    1,575,545,428x = 13,301,356,324,561,231,872
  5. Step 5: Solve for x
    x = 13,301,356,324,561,231,872/1,575,545,428
  6. Step 6: Final answer
    x = 8,442,381,976.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.