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Finding the Third Proportional to 32,144,822 and 48,516,162

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Solution

The third proportional to 32,144,822 and 48,516,162 is: 73,225,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144,822 : 48,516,162 = 48,516,162 : x
  2. Step 2: Convert to fraction form
    32,144,822/48,516,162 = 48,516,162/x
  3. Step 3: Cross multiply
    32,144,822x = 48,516,162 × 48,516,162
  4. Step 4: Simplify right side
    32,144,822x = 2,353,817,975,210,244
  5. Step 5: Solve for x
    x = 2,353,817,975,210,244/32,144,822
  6. Step 6: Final answer
    x = 73,225,416.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.