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Finding the Third Proportional to 453,054,903,228 and 981,518,170,208

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Solution

The third proportional to 453,054,903,228 and 981,518,170,208 is: 2,126,404,353,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,054,903,228 : 981,518,170,208 = 981,518,170,208 : x
  2. Step 2: Convert to fraction form
    453,054,903,228/981,518,170,208 = 981,518,170,208/x
  3. Step 3: Cross multiply
    453,054,903,228x = 981,518,170,208 × 981,518,170,208
  4. Step 4: Simplify right side
    453,054,903,228x = 963,377,918,448,460,521,013,248
  5. Step 5: Solve for x
    x = 963,377,918,448,460,521,013,248/453,054,903,228
  6. Step 6: Final answer
    x = 2,126,404,353,168.74

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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.