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Finding the Third Proportional to 474,356,839,080 and 722,649,832,308

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Solution

The third proportional to 474,356,839,080 and 722,649,832,308 is: 1,100,907,032,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356,839,080 : 722,649,832,308 = 722,649,832,308 : x
  2. Step 2: Convert to fraction form
    474,356,839,080/722,649,832,308 = 722,649,832,308/x
  3. Step 3: Cross multiply
    474,356,839,080x = 722,649,832,308 × 722,649,832,308
  4. Step 4: Simplify right side
    474,356,839,080x = 522,222,780,134,780,506,734,592
  5. Step 5: Solve for x
    x = 522,222,780,134,780,506,734,592/474,356,839,080
  6. Step 6: Final answer
    x = 1,100,907,032,662.62

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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.