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Finding the Third Proportional to 831,814,656 and 1,802,334,000

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Solution

The third proportional to 831,814,656 and 1,802,334,000 is: 3,905,206,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,814,656 : 1,802,334,000 = 1,802,334,000 : x
  2. Step 2: Convert to fraction form
    831,814,656/1,802,334,000 = 1,802,334,000/x
  3. Step 3: Cross multiply
    831,814,656x = 1,802,334,000 × 1,802,334,000
  4. Step 4: Simplify right side
    831,814,656x = 3,248,407,847,555,999,744
  5. Step 5: Solve for x
    x = 3,248,407,847,555,999,744/831,814,656
  6. Step 6: Final answer
    x = 3,905,206,315.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.