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Finding the Third Proportional to 583,156,480 and 1,285,178,824

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Solution

The third proportional to 583,156,480 and 1,285,178,824 is: 2,832,318,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,156,480 : 1,285,178,824 = 1,285,178,824 : x
  2. Step 2: Convert to fraction form
    583,156,480/1,285,178,824 = 1,285,178,824/x
  3. Step 3: Cross multiply
    583,156,480x = 1,285,178,824 × 1,285,178,824
  4. Step 4: Simplify right side
    583,156,480x = 1,651,684,609,658,022,912
  5. Step 5: Solve for x
    x = 1,651,684,609,658,022,912/583,156,480
  6. Step 6: Final answer
    x = 2,832,318,024.93

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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.