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Finding the Third Proportional to 74,801,127,225 and 164,562,297,810

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Solution

The third proportional to 74,801,127,225 and 164,562,297,810 is: 362,036,654,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,801,127,225 : 164,562,297,810 = 164,562,297,810 : x
  2. Step 2: Convert to fraction form
    74,801,127,225/164,562,297,810 = 164,562,297,810/x
  3. Step 3: Cross multiply
    74,801,127,225x = 164,562,297,810 × 164,562,297,810
  4. Step 4: Simplify right side
    74,801,127,225x = 27,080,749,860,507,130,789,888
  5. Step 5: Solve for x
    x = 27,080,749,860,507,130,789,888/74,801,127,225
  6. Step 6: Final answer
    x = 362,036,654,595.44

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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.