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Finding the Third Proportional to 583,156,473.47 and 1,285,178,806.69

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Solution

The third proportional to 583,156,473.47 and 1,285,178,806.69 is: 2,832,317,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,156,473.47 : 1,285,178,806.69 = 1,285,178,806.69 : x
  2. Step 2: Convert to fraction form
    583,156,473.47/1,285,178,806.69 = 1,285,178,806.69/x
  3. Step 3: Cross multiply
    583,156,473.47x = 1,285,178,806.69 × 1,285,178,806.69
  4. Step 4: Simplify right side
    583,156,473.47x = 1,651,684,565,158,706,432
  5. Step 5: Solve for x
    x = 1,651,684,565,158,706,432/583,156,473.47
  6. Step 6: Final answer
    x = 2,832,317,980.34

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Why These Related Problems?

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