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Finding the Third Proportional to 583,156,473.05 and 1,285,178,805.42

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Solution

The third proportional to 583,156,473.05 and 1,285,178,805.42 is: 2,832,317,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,156,473.05 : 1,285,178,805.42 = 1,285,178,805.42 : x
  2. Step 2: Convert to fraction form
    583,156,473.05/1,285,178,805.42 = 1,285,178,805.42/x
  3. Step 3: Cross multiply
    583,156,473.05x = 1,285,178,805.42 × 1,285,178,805.42
  4. Step 4: Simplify right side
    583,156,473.05x = 1,651,684,561,905,661,952
  5. Step 5: Solve for x
    x = 1,651,684,561,905,661,952/583,156,473.05
  6. Step 6: Final answer
    x = 2,832,317,976.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.