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Finding the Third Proportional to 72,846,568,924 and 162,442,924,802

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Solution

The third proportional to 72,846,568,924 and 162,442,924,802 is: 362,236,742,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846,568,924 : 162,442,924,802 = 162,442,924,802 : x
  2. Step 2: Convert to fraction form
    72,846,568,924/162,442,924,802 = 162,442,924,802/x
  3. Step 3: Cross multiply
    72,846,568,924x = 162,442,924,802 × 162,442,924,802
  4. Step 4: Simplify right side
    72,846,568,924x = 26,387,703,818,228,225,540,096
  5. Step 5: Solve for x
    x = 26,387,703,818,228,225,540,096/72,846,568,924
  6. Step 6: Final answer
    x = 362,236,742,347.58

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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.