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Finding the Third Proportional to 8,386,944 and 18,344,148

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Solution

The third proportional to 8,386,944 and 18,344,148 is: 40,122,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,944 : 18,344,148 = 18,344,148 : x
  2. Step 2: Convert to fraction form
    8,386,944/18,344,148 = 18,344,148/x
  3. Step 3: Cross multiply
    8,386,944x = 18,344,148 × 18,344,148
  4. Step 4: Simplify right side
    8,386,944x = 336,507,765,845,904
  5. Step 5: Solve for x
    x = 336,507,765,845,904/8,386,944
  6. Step 6: Final answer
    x = 40,122,810.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.