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Finding the Third Proportional to 5,813,075.25 and 13,577,643

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Solution

The third proportional to 5,813,075.25 and 13,577,643 is: 31,713,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813,075.25 : 13,577,643 = 13,577,643 : x
  2. Step 2: Convert to fraction form
    5,813,075.25/13,577,643 = 13,577,643/x
  3. Step 3: Cross multiply
    5,813,075.25x = 13,577,643 × 13,577,643
  4. Step 4: Simplify right side
    5,813,075.25x = 184,352,389,435,449
  5. Step 5: Solve for x
    x = 184,352,389,435,449/5,813,075.25
  6. Step 6: Final answer
    x = 31,713,401.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.