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Finding the Third Proportional to 3,084,810.75 and 6,684,454.13

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Solution

The third proportional to 3,084,810.75 and 6,684,454.13 is: 14,484,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,810.75 : 6,684,454.13 = 6,684,454.13 : x
  2. Step 2: Convert to fraction form
    3,084,810.75/6,684,454.13 = 6,684,454.13/x
  3. Step 3: Cross multiply
    3,084,810.75x = 6,684,454.13 × 6,684,454.13
  4. Step 4: Simplify right side
    3,084,810.75x = 44,681,926,949,229.52
  5. Step 5: Solve for x
    x = 44,681,926,949,229.52/3,084,810.75
  6. Step 6: Final answer
    x = 14,484,495.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.