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Finding the Third Proportional to 291,022,069,624 and 636,906,064,462

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Solution

The third proportional to 291,022,069,624 and 636,906,064,462 is: 1,393,878,256,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,022,069,624 : 636,906,064,462 = 636,906,064,462 : x
  2. Step 2: Convert to fraction form
    291,022,069,624/636,906,064,462 = 636,906,064,462/x
  3. Step 3: Cross multiply
    291,022,069,624x = 636,906,064,462 × 636,906,064,462
  4. Step 4: Simplify right side
    291,022,069,624x = 405,649,334,948,473,287,475,200
  5. Step 5: Solve for x
    x = 405,649,334,948,473,287,475,200/291,022,069,624
  6. Step 6: Final answer
    x = 1,393,878,256,286.79

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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.