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Finding the Third Proportional to 3,670,163 and 5,643,784

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Solution

The third proportional to 3,670,163 and 5,643,784 is: 8,678,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,163 : 5,643,784 = 5,643,784 : x
  2. Step 2: Convert to fraction form
    3,670,163/5,643,784 = 5,643,784/x
  3. Step 3: Cross multiply
    3,670,163x = 5,643,784 × 5,643,784
  4. Step 4: Simplify right side
    3,670,163x = 31,852,297,838,656
  5. Step 5: Solve for x
    x = 31,852,297,838,656/3,670,163
  6. Step 6: Final answer
    x = 8,678,714.77

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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.