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Finding the Third Proportional to 287,105,830 and 629,795,968

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Solution

The third proportional to 287,105,830 and 629,795,968 is: 1,381,521,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,105,830 : 629,795,968 = 629,795,968 : x
  2. Step 2: Convert to fraction form
    287,105,830/629,795,968 = 629,795,968/x
  3. Step 3: Cross multiply
    287,105,830x = 629,795,968 × 629,795,968
  4. Step 4: Simplify right side
    287,105,830x = 396,642,961,309,057,024
  5. Step 5: Solve for x
    x = 396,642,961,309,057,024/287,105,830
  6. Step 6: Final answer
    x = 1,381,521,793.93

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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.