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Finding the Third Proportional to 600,357,874,497.50 and 914,603,694,071.50

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Solution

The third proportional to 600,357,874,497.50 and 914,603,694,071.50 is: 1,393,335,463,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,357,874,497.50 : 914,603,694,071.50 = 914,603,694,071.50 : x
  2. Step 2: Convert to fraction form
    600,357,874,497.50/914,603,694,071.50 = 914,603,694,071.50/x
  3. Step 3: Cross multiply
    600,357,874,497.50x = 914,603,694,071.50 × 914,603,694,071.50
  4. Step 4: Simplify right side
    600,357,874,497.50x = 836,499,917,209,233,937,924,096
  5. Step 5: Solve for x
    x = 836,499,917,209,233,937,924,096/600,357,874,497.50
  6. Step 6: Final answer
    x = 1,393,335,463,300.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.