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Finding the Third Proportional to 2,545,497,431 and 3,927,202,653

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Solution

The third proportional to 2,545,497,431 and 3,927,202,653 is: 6,058,902,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,497,431 : 3,927,202,653 = 3,927,202,653 : x
  2. Step 2: Convert to fraction form
    2,545,497,431/3,927,202,653 = 3,927,202,653/x
  3. Step 3: Cross multiply
    2,545,497,431x = 3,927,202,653 × 3,927,202,653
  4. Step 4: Simplify right side
    2,545,497,431x = 15,422,920,677,730,238,464
  5. Step 5: Solve for x
    x = 15,422,920,677,730,238,464/2,545,497,431
  6. Step 6: Final answer
    x = 6,058,902,472.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.