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Finding the Third Proportional to 5,684,924.25 and 8,746,957.13

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Solution

The third proportional to 5,684,924.25 and 8,746,957.13 is: 13,458,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,924.25 : 8,746,957.13 = 8,746,957.13 : x
  2. Step 2: Convert to fraction form
    5,684,924.25/8,746,957.13 = 8,746,957.13/x
  3. Step 3: Cross multiply
    5,684,924.25x = 8,746,957.13 × 8,746,957.13
  4. Step 4: Simplify right side
    5,684,924.25x = 76,509,258,946,588.27
  5. Step 5: Solve for x
    x = 76,509,258,946,588.27/5,684,924.25
  6. Step 6: Final answer
    x = 13,458,272.37

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