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Finding the Third Proportional to 722,423,812 and 1,582,864,820

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Solution

The third proportional to 722,423,812 and 1,582,864,820 is: 3,468,131,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,423,812 : 1,582,864,820 = 1,582,864,820 : x
  2. Step 2: Convert to fraction form
    722,423,812/1,582,864,820 = 1,582,864,820/x
  3. Step 3: Cross multiply
    722,423,812x = 1,582,864,820 × 1,582,864,820
  4. Step 4: Simplify right side
    722,423,812x = 2,505,461,038,393,632,256
  5. Step 5: Solve for x
    x = 2,505,461,038,393,632,256/722,423,812
  6. Step 6: Final answer
    x = 3,468,131,859.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.