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Finding the Third Proportional to 13,828,899 and 29,873,521

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Solution

The third proportional to 13,828,899 and 29,873,521 is: 64,533,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828,899 : 29,873,521 = 29,873,521 : x
  2. Step 2: Convert to fraction form
    13,828,899/29,873,521 = 29,873,521/x
  3. Step 3: Cross multiply
    13,828,899x = 29,873,521 × 29,873,521
  4. Step 4: Simplify right side
    13,828,899x = 892,427,256,937,441
  5. Step 5: Solve for x
    x = 892,427,256,937,441/13,828,899
  6. Step 6: Final answer
    x = 64,533,500.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.