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Finding the Third Proportional to 38,192,281,017 and 80,342,435,664

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Solution

The third proportional to 38,192,281,017 and 80,342,435,664 is: 169,010,773,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,192,281,017 : 80,342,435,664 = 80,342,435,664 : x
  2. Step 2: Convert to fraction form
    38,192,281,017/80,342,435,664 = 80,342,435,664/x
  3. Step 3: Cross multiply
    38,192,281,017x = 80,342,435,664 × 80,342,435,664
  4. Step 4: Simplify right side
    38,192,281,017x = 6,454,906,968,423,979,286,528
  5. Step 5: Solve for x
    x = 6,454,906,968,423,979,286,528/38,192,281,017
  6. Step 6: Final answer
    x = 169,010,773,814.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.