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Finding the Third Proportional to 114,926,855,103 and 268,520,990,679

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Solution

The third proportional to 114,926,855,103 and 268,520,990,679 is: 627,386,195,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,926,855,103 : 268,520,990,679 = 268,520,990,679 : x
  2. Step 2: Convert to fraction form
    114,926,855,103/268,520,990,679 = 268,520,990,679/x
  3. Step 3: Cross multiply
    114,926,855,103x = 268,520,990,679 × 268,520,990,679
  4. Step 4: Simplify right side
    114,926,855,103x = 72,103,522,435,231,601,655,808
  5. Step 5: Solve for x
    x = 72,103,522,435,231,601,655,808/114,926,855,103
  6. Step 6: Final answer
    x = 627,386,195,947.07

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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.