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Finding the Third Proportional to 842,278,956 and 1,817,733,639

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Solution

The third proportional to 842,278,956 and 1,817,733,639 is: 3,922,875,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,278,956 : 1,817,733,639 = 1,817,733,639 : x
  2. Step 2: Convert to fraction form
    842,278,956/1,817,733,639 = 1,817,733,639/x
  3. Step 3: Cross multiply
    842,278,956x = 1,817,733,639 × 1,817,733,639
  4. Step 4: Simplify right side
    842,278,956x = 3,304,155,582,352,182,272
  5. Step 5: Solve for x
    x = 3,304,155,582,352,182,272/842,278,956
  6. Step 6: Final answer
    x = 3,922,875,620.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.