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Finding the Third Proportional to 2,806,964.06 and 6,090,358.31

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Solution

The third proportional to 2,806,964.06 and 6,090,358.31 is: 13,214,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806,964.06 : 6,090,358.31 = 6,090,358.31 : x
  2. Step 2: Convert to fraction form
    2,806,964.06/6,090,358.31 = 6,090,358.31/x
  3. Step 3: Cross multiply
    2,806,964.06x = 6,090,358.31 × 6,090,358.31
  4. Step 4: Simplify right side
    2,806,964.06x = 37,092,464,374,637.84
  5. Step 5: Solve for x
    x = 37,092,464,374,637.84/2,806,964.06
  6. Step 6: Final answer
    x = 13,214,442.20

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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.