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Finding the Third Proportional to 10,447,472,804,865 and 22,729,209,997,188

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Solution

The third proportional to 10,447,472,804,865 and 22,729,209,997,188 is: 49,448,990,846,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,472,804,865 : 22,729,209,997,188 = 22,729,209,997,188 : x
  2. Step 2: Convert to fraction form
    10,447,472,804,865/22,729,209,997,188 = 22,729,209,997,188/x
  3. Step 3: Cross multiply
    10,447,472,804,865x = 22,729,209,997,188 × 22,729,209,997,188
  4. Step 4: Simplify right side
    10,447,472,804,865x = 516,616,987,096,270,907,780,366,336
  5. Step 5: Solve for x
    x = 516,616,987,096,270,907,780,366,336/10,447,472,804,865
  6. Step 6: Final answer
    x = 49,448,990,846,446.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.