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Finding the Third Proportional to 77,318,862,838 and 166,454,455,304

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Solution

The third proportional to 77,318,862,838 and 166,454,455,304 is: 358,348,334,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,318,862,838 : 166,454,455,304 = 166,454,455,304 : x
  2. Step 2: Convert to fraction form
    77,318,862,838/166,454,455,304 = 166,454,455,304/x
  3. Step 3: Cross multiply
    77,318,862,838x = 166,454,455,304 × 166,454,455,304
  4. Step 4: Simplify right side
    77,318,862,838x = 27,707,085,690,551,335,387,136
  5. Step 5: Solve for x
    x = 27,707,085,690,551,335,387,136/77,318,862,838
  6. Step 6: Final answer
    x = 358,348,334,074.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.