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Finding the Third Proportional to 1,193,836,720 and 2,569,071,968

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Solution

The third proportional to 1,193,836,720 and 2,569,071,968 is: 5,528,503,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,836,720 : 2,569,071,968 = 2,569,071,968 : x
  2. Step 2: Convert to fraction form
    1,193,836,720/2,569,071,968 = 2,569,071,968/x
  3. Step 3: Cross multiply
    1,193,836,720x = 2,569,071,968 × 2,569,071,968
  4. Step 4: Simplify right side
    1,193,836,720x = 6,600,130,776,763,393,024
  5. Step 5: Solve for x
    x = 6,600,130,776,763,393,024/1,193,836,720
  6. Step 6: Final answer
    x = 5,528,503,744.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.