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Finding the Third Proportional to 292,381,992 and 650,121,912

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Solution

The third proportional to 292,381,992 and 650,121,912 is: 1,445,569,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,381,992 : 650,121,912 = 650,121,912 : x
  2. Step 2: Convert to fraction form
    292,381,992/650,121,912 = 650,121,912/x
  3. Step 3: Cross multiply
    292,381,992x = 650,121,912 × 650,121,912
  4. Step 4: Simplify right side
    292,381,992x = 422,658,500,462,535,744
  5. Step 5: Solve for x
    x = 422,658,500,462,535,744/292,381,992
  6. Step 6: Final answer
    x = 1,445,569,535.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.