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Finding the Third Proportional to 74,728,873 and 161,739,897

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Solution

The third proportional to 74,728,873 and 161,739,897 is: 350,062,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,728,873 : 161,739,897 = 161,739,897 : x
  2. Step 2: Convert to fraction form
    74,728,873/161,739,897 = 161,739,897/x
  3. Step 3: Cross multiply
    74,728,873x = 161,739,897 × 161,739,897
  4. Step 4: Simplify right side
    74,728,873x = 26,159,794,281,570,608
  5. Step 5: Solve for x
    x = 26,159,794,281,570,608/74,728,873
  6. Step 6: Final answer
    x = 350,062,743.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.