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Finding the Third Proportional to 474,356,839,140 and 722,649,832,402

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Solution

The third proportional to 474,356,839,140 and 722,649,832,402 is: 1,100,907,032,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356,839,140 : 722,649,832,402 = 722,649,832,402 : x
  2. Step 2: Convert to fraction form
    474,356,839,140/722,649,832,402 = 722,649,832,402/x
  3. Step 3: Cross multiply
    474,356,839,140x = 722,649,832,402 × 722,649,832,402
  4. Step 4: Simplify right side
    474,356,839,140x = 522,222,780,270,638,710,915,072
  5. Step 5: Solve for x
    x = 522,222,780,270,638,710,915,072/474,356,839,140
  6. Step 6: Final answer
    x = 1,100,907,032,809.77

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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.