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Finding the Third Proportional to 4,577,427 and 6,726,009

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Solution

The third proportional to 4,577,427 and 6,726,009 is: 9,883,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577,427 : 6,726,009 = 6,726,009 : x
  2. Step 2: Convert to fraction form
    4,577,427/6,726,009 = 6,726,009/x
  3. Step 3: Cross multiply
    4,577,427x = 6,726,009 × 6,726,009
  4. Step 4: Simplify right side
    4,577,427x = 45,239,197,068,081
  5. Step 5: Solve for x
    x = 45,239,197,068,081/4,577,427
  6. Step 6: Final answer
    x = 9,883,106.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.