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Finding the Third Proportional to 603,722,497,088 and 1,292,253,658,240

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Solution

The third proportional to 603,722,497,088 and 1,292,253,658,240 is: 2,766,038,246,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,722,497,088 : 1,292,253,658,240 = 1,292,253,658,240 : x
  2. Step 2: Convert to fraction form
    603,722,497,088/1,292,253,658,240 = 1,292,253,658,240/x
  3. Step 3: Cross multiply
    603,722,497,088x = 1,292,253,658,240 × 1,292,253,658,240
  4. Step 4: Simplify right side
    603,722,497,088x = 1,669,919,517,234,662,685,540,352
  5. Step 5: Solve for x
    x = 1,669,919,517,234,662,685,540,352/603,722,497,088
  6. Step 6: Final answer
    x = 2,766,038,246,527.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.