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Finding the Third Proportional to 513,251,434.50 and 1,053,711,885

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Solution

The third proportional to 513,251,434.50 and 1,053,711,885 is: 2,163,284,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,251,434.50 : 1,053,711,885 = 1,053,711,885 : x
  2. Step 2: Convert to fraction form
    513,251,434.50/1,053,711,885 = 1,053,711,885/x
  3. Step 3: Cross multiply
    513,251,434.50x = 1,053,711,885 × 1,053,711,885
  4. Step 4: Simplify right side
    513,251,434.50x = 1,110,308,736,590,253,184
  5. Step 5: Solve for x
    x = 1,110,308,736,590,253,184/513,251,434.50
  6. Step 6: Final answer
    x = 2,163,284,234.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.