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Finding the Third Proportional to 453,054,903,230 and 981,518,170,212

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Solution

The third proportional to 453,054,903,230 and 981,518,170,212 is: 2,126,404,353,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,054,903,230 : 981,518,170,212 = 981,518,170,212 : x
  2. Step 2: Convert to fraction form
    453,054,903,230/981,518,170,212 = 981,518,170,212/x
  3. Step 3: Cross multiply
    453,054,903,230x = 981,518,170,212 × 981,518,170,212
  4. Step 4: Simplify right side
    453,054,903,230x = 963,377,918,456,312,660,754,432
  5. Step 5: Solve for x
    x = 963,377,918,456,312,660,754,432/453,054,903,230
  6. Step 6: Final answer
    x = 2,126,404,353,176.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.