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Finding the Third Proportional to 32,785,828 and 48,913,019

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Solution

The third proportional to 32,785,828 and 48,913,019 is: 72,973,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785,828 : 48,913,019 = 48,913,019 : x
  2. Step 2: Convert to fraction form
    32,785,828/48,913,019 = 48,913,019/x
  3. Step 3: Cross multiply
    32,785,828x = 48,913,019 × 48,913,019
  4. Step 4: Simplify right side
    32,785,828x = 2,392,483,427,694,361
  5. Step 5: Solve for x
    x = 2,392,483,427,694,361/32,785,828
  6. Step 6: Final answer
    x = 72,973,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.