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Finding the Third Proportional to 72,846,568,926 and 162,442,924,806

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Solution

The third proportional to 72,846,568,926 and 162,442,924,806 is: 362,236,742,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846,568,926 : 162,442,924,806 = 162,442,924,806 : x
  2. Step 2: Convert to fraction form
    72,846,568,926/162,442,924,806 = 162,442,924,806/x
  3. Step 3: Cross multiply
    72,846,568,926x = 162,442,924,806 × 162,442,924,806
  4. Step 4: Simplify right side
    72,846,568,926x = 26,387,703,819,527,771,914,240
  5. Step 5: Solve for x
    x = 26,387,703,819,527,771,914,240/72,846,568,926
  6. Step 6: Final answer
    x = 362,236,742,355.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.