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Finding the Third Proportional to 291,022,069,622.06 and 636,906,064,457.80

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Solution

The third proportional to 291,022,069,622.06 and 636,906,064,457.80 is: 1,393,878,256,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,022,069,622.06 : 636,906,064,457.80 = 636,906,064,457.80 : x
  2. Step 2: Convert to fraction form
    291,022,069,622.06/636,906,064,457.80 = 636,906,064,457.80/x
  3. Step 3: Cross multiply
    291,022,069,622.06x = 636,906,064,457.80 × 636,906,064,457.80
  4. Step 4: Simplify right side
    291,022,069,622.06x = 405,649,334,943,123,368,837,120
  5. Step 5: Solve for x
    x = 405,649,334,943,123,368,837,120/291,022,069,622.06
  6. Step 6: Final answer
    x = 1,393,878,256,277.70

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Why These Related Problems?

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