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Finding the Third Proportional to 4,643,904 and 6,993,216

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Solution

The third proportional to 4,643,904 and 6,993,216 is: 10,531,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,904 : 6,993,216 = 6,993,216 : x
  2. Step 2: Convert to fraction form
    4,643,904/6,993,216 = 6,993,216/x
  3. Step 3: Cross multiply
    4,643,904x = 6,993,216 × 6,993,216
  4. Step 4: Simplify right side
    4,643,904x = 48,905,070,022,656
  5. Step 5: Solve for x
    x = 48,905,070,022,656/4,643,904
  6. Step 6: Final answer
    x = 10,531,025.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.