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Finding the Third Proportional to 1,068,957,982 and 2,235,653,480

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Solution

The third proportional to 1,068,957,982 and 2,235,653,480 is: 4,675,718,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,957,982 : 2,235,653,480 = 2,235,653,480 : x
  2. Step 2: Convert to fraction form
    1,068,957,982/2,235,653,480 = 2,235,653,480/x
  3. Step 3: Cross multiply
    1,068,957,982x = 2,235,653,480 × 2,235,653,480
  4. Step 4: Simplify right side
    1,068,957,982x = 4,998,146,482,636,110,848
  5. Step 5: Solve for x
    x = 4,998,146,482,636,110,848/1,068,957,982
  6. Step 6: Final answer
    x = 4,675,718,378.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.