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Finding the Third Proportional to 960,604,032 and 2,265,371,200

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Solution

The third proportional to 960,604,032 and 2,265,371,200 is: 5,342,374,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,604,032 : 2,265,371,200 = 2,265,371,200 : x
  2. Step 2: Convert to fraction form
    960,604,032/2,265,371,200 = 2,265,371,200/x
  3. Step 3: Cross multiply
    960,604,032x = 2,265,371,200 × 2,265,371,200
  4. Step 4: Simplify right side
    960,604,032x = 5,131,906,673,789,440,000
  5. Step 5: Solve for x
    x = 5,131,906,673,789,440,000/960,604,032
  6. Step 6: Final answer
    x = 5,342,374,696.37

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.