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Finding the Third Proportional to 453,054,903,184.72 and 981,518,170,123.08

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Solution

The third proportional to 453,054,903,184.72 and 981,518,170,123.08 is: 2,126,404,353,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,054,903,184.72 : 981,518,170,123.08 = 981,518,170,123.08 : x
  2. Step 2: Convert to fraction form
    453,054,903,184.72/981,518,170,123.08 = 981,518,170,123.08/x
  3. Step 3: Cross multiply
    453,054,903,184.72x = 981,518,170,123.08 × 981,518,170,123.08
  4. Step 4: Simplify right side
    453,054,903,184.72x = 963,377,918,281,759,284,264,960
  5. Step 5: Solve for x
    x = 963,377,918,281,759,284,264,960/453,054,903,184.72
  6. Step 6: Final answer
    x = 2,126,404,353,003.92

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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.