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Finding the Third Proportional to 5,868,095 and 8,976,509

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Solution

The third proportional to 5,868,095 and 8,976,509 is: 13,731,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868,095 : 8,976,509 = 8,976,509 : x
  2. Step 2: Convert to fraction form
    5,868,095/8,976,509 = 8,976,509/x
  3. Step 3: Cross multiply
    5,868,095x = 8,976,509 × 8,976,509
  4. Step 4: Simplify right side
    5,868,095x = 80,577,713,827,081
  5. Step 5: Solve for x
    x = 80,577,713,827,081/5,868,095
  6. Step 6: Final answer
    x = 13,731,494.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.