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Finding the Third Proportional to 112,373,750,261 and 265,181,937,183

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Solution

The third proportional to 112,373,750,261 and 265,181,937,183 is: 625,781,907,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,373,750,261 : 265,181,937,183 = 265,181,937,183 : x
  2. Step 2: Convert to fraction form
    112,373,750,261/265,181,937,183 = 265,181,937,183/x
  3. Step 3: Cross multiply
    112,373,750,261x = 265,181,937,183 × 265,181,937,183
  4. Step 4: Simplify right side
    112,373,750,261x = 70,321,459,808,128,555,024,384
  5. Step 5: Solve for x
    x = 70,321,459,808,128,555,024,384/112,373,750,261
  6. Step 6: Final answer
    x = 625,781,907,650.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.