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Finding the Third Proportional to 3,140,302.25 and 6,802,298

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Solution

The third proportional to 3,140,302.25 and 6,802,298 is: 14,734,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,302.25 : 6,802,298 = 6,802,298 : x
  2. Step 2: Convert to fraction form
    3,140,302.25/6,802,298 = 6,802,298/x
  3. Step 3: Cross multiply
    3,140,302.25x = 6,802,298 × 6,802,298
  4. Step 4: Simplify right side
    3,140,302.25x = 46,271,258,080,804
  5. Step 5: Solve for x
    x = 46,271,258,080,804/3,140,302.25
  6. Step 6: Final answer
    x = 14,734,651.13

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Why These Related Problems?

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