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Finding the Third Proportional to 74,801,127,210 and 164,562,297,780

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Solution

The third proportional to 74,801,127,210 and 164,562,297,780 is: 362,036,654,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,801,127,210 : 164,562,297,780 = 164,562,297,780 : x
  2. Step 2: Convert to fraction form
    74,801,127,210/164,562,297,780 = 164,562,297,780/x
  3. Step 3: Cross multiply
    74,801,127,210x = 164,562,297,780 × 164,562,297,780
  4. Step 4: Simplify right side
    74,801,127,210x = 27,080,749,850,633,391,046,656
  5. Step 5: Solve for x
    x = 27,080,749,850,633,391,046,656/74,801,127,210
  6. Step 6: Final answer
    x = 362,036,654,536.04

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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.