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Finding the Third Proportional to 3,220,494.19 and 7,009,016.06

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Solution

The third proportional to 3,220,494.19 and 7,009,016.06 is: 15,254,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,494.19 : 7,009,016.06 = 7,009,016.06 : x
  2. Step 2: Convert to fraction form
    3,220,494.19/7,009,016.06 = 7,009,016.06/x
  3. Step 3: Cross multiply
    3,220,494.19x = 7,009,016.06 × 7,009,016.06
  4. Step 4: Simplify right side
    3,220,494.19x = 49,126,306,164,383
  5. Step 5: Solve for x
    x = 49,126,306,164,383/3,220,494.19
  6. Step 6: Final answer
    x = 15,254,275.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.