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Finding the Third Proportional to 513,381,123 and 1,120,838,265

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Solution

The third proportional to 513,381,123 and 1,120,838,265 is: 2,447,067,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,381,123 : 1,120,838,265 = 1,120,838,265 : x
  2. Step 2: Convert to fraction form
    513,381,123/1,120,838,265 = 1,120,838,265/x
  3. Step 3: Cross multiply
    513,381,123x = 1,120,838,265 × 1,120,838,265
  4. Step 4: Simplify right side
    513,381,123x = 1,256,278,416,288,210,176
  5. Step 5: Solve for x
    x = 1,256,278,416,288,210,176/513,381,123
  6. Step 6: Final answer
    x = 2,447,067,802.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.