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Finding the Third Proportional to 114,926,855,115 and 268,520,990,709

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Solution

The third proportional to 114,926,855,115 and 268,520,990,709 is: 627,386,196,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,926,855,115 : 268,520,990,709 = 268,520,990,709 : x
  2. Step 2: Convert to fraction form
    114,926,855,115/268,520,990,709 = 268,520,990,709/x
  3. Step 3: Cross multiply
    114,926,855,115x = 268,520,990,709 × 268,520,990,709
  4. Step 4: Simplify right side
    114,926,855,115x = 72,103,522,451,342,862,843,904
  5. Step 5: Solve for x
    x = 72,103,522,451,342,862,843,904/114,926,855,115
  6. Step 6: Final answer
    x = 627,386,196,021.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.