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Finding the Third Proportional to 453,054,903,232 and 981,518,170,216

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Solution

The third proportional to 453,054,903,232 and 981,518,170,216 is: 2,126,404,353,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,054,903,232 : 981,518,170,216 = 981,518,170,216 : x
  2. Step 2: Convert to fraction form
    453,054,903,232/981,518,170,216 = 981,518,170,216/x
  3. Step 3: Cross multiply
    453,054,903,232x = 981,518,170,216 × 981,518,170,216
  4. Step 4: Simplify right side
    453,054,903,232x = 963,377,918,464,164,800,495,616
  5. Step 5: Solve for x
    x = 963,377,918,464,164,800,495,616/453,054,903,232
  6. Step 6: Final answer
    x = 2,126,404,353,184.63

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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.