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Finding the Third Proportional to 81,066,079,282 and 168,841,948,366

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Solution

The third proportional to 81,066,079,282 and 168,841,948,366 is: 351,658,841,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,066,079,282 : 168,841,948,366 = 168,841,948,366 : x
  2. Step 2: Convert to fraction form
    81,066,079,282/168,841,948,366 = 168,841,948,366/x
  3. Step 3: Cross multiply
    81,066,079,282x = 168,841,948,366 × 168,841,948,366
  4. Step 4: Simplify right side
    81,066,079,282x = 28,507,603,528,027,010,498,560
  5. Step 5: Solve for x
    x = 28,507,603,528,027,010,498,560/81,066,079,282
  6. Step 6: Final answer
    x = 351,658,841,534.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.