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Finding the Third Proportional to 74,801,127,212 and 164,562,297,784

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Solution

The third proportional to 74,801,127,212 and 164,562,297,784 is: 362,036,654,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,801,127,212 : 164,562,297,784 = 164,562,297,784 : x
  2. Step 2: Convert to fraction form
    74,801,127,212/164,562,297,784 = 164,562,297,784/x
  3. Step 3: Cross multiply
    74,801,127,212x = 164,562,297,784 × 164,562,297,784
  4. Step 4: Simplify right side
    74,801,127,212x = 27,080,749,851,949,890,797,568
  5. Step 5: Solve for x
    x = 27,080,749,851,949,890,797,568/74,801,127,212
  6. Step 6: Final answer
    x = 362,036,654,543.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.