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Finding the Third Proportional to 744,073,344 and 1,737,937,944

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Solution

The third proportional to 744,073,344 and 1,737,937,944 is: 4,059,315,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,073,344 : 1,737,937,944 = 1,737,937,944 : x
  2. Step 2: Convert to fraction form
    744,073,344/1,737,937,944 = 1,737,937,944/x
  3. Step 3: Cross multiply
    744,073,344x = 1,737,937,944 × 1,737,937,944
  4. Step 4: Simplify right side
    744,073,344x = 3,020,428,297,194,947,072
  5. Step 5: Solve for x
    x = 3,020,428,297,194,947,072/744,073,344
  6. Step 6: Final answer
    x = 4,059,315,283.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.