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Finding the Third Proportional to 151,768,459,333 and 337,470,179,246

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Solution

The third proportional to 151,768,459,333 and 337,470,179,246 is: 750,393,872,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,768,459,333 : 337,470,179,246 = 337,470,179,246 : x
  2. Step 2: Convert to fraction form
    151,768,459,333/337,470,179,246 = 337,470,179,246/x
  3. Step 3: Cross multiply
    151,768,459,333x = 337,470,179,246 × 337,470,179,246
  4. Step 4: Simplify right side
    151,768,459,333x = 113,886,121,880,327,374,766,080
  5. Step 5: Solve for x
    x = 113,886,121,880,327,374,766,080/151,768,459,333
  6. Step 6: Final answer
    x = 750,393,872,223.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.