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Finding the Third Proportional to 4,942,034 and 10,828,852

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Solution

The third proportional to 4,942,034 and 10,828,852 is: 23,727,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,034 : 10,828,852 = 10,828,852 : x
  2. Step 2: Convert to fraction form
    4,942,034/10,828,852 = 10,828,852/x
  3. Step 3: Cross multiply
    4,942,034x = 10,828,852 × 10,828,852
  4. Step 4: Simplify right side
    4,942,034x = 117,264,035,637,904
  5. Step 5: Solve for x
    x = 117,264,035,637,904/4,942,034
  6. Step 6: Final answer
    x = 23,727,889.29

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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.