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Finding the Third Proportional to 10,496,816,817.50 and 23,133,219,259

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Solution

The third proportional to 10,496,816,817.50 and 23,133,219,259 is: 50,981,725,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496,816,817.50 : 23,133,219,259 = 23,133,219,259 : x
  2. Step 2: Convert to fraction form
    10,496,816,817.50/23,133,219,259 = 23,133,219,259/x
  3. Step 3: Cross multiply
    10,496,816,817.50x = 23,133,219,259 × 23,133,219,259
  4. Step 4: Simplify right side
    10,496,816,817.50x = 535,145,833,284,968,513,536
  5. Step 5: Solve for x
    x = 535,145,833,284,968,513,536/10,496,816,817.50
  6. Step 6: Final answer
    x = 50,981,725,468.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.