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Finding the Third Proportional to 12,749,151,342 and 27,289,255,419

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Solution

The third proportional to 12,749,151,342 and 27,289,255,419 is: 58,412,002,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749,151,342 : 27,289,255,419 = 27,289,255,419 : x
  2. Step 2: Convert to fraction form
    12,749,151,342/27,289,255,419 = 27,289,255,419/x
  3. Step 3: Cross multiply
    12,749,151,342x = 27,289,255,419 × 27,289,255,419
  4. Step 4: Simplify right side
    12,749,151,342x = 744,703,461,323,420,860,416
  5. Step 5: Solve for x
    x = 744,703,461,323,420,860,416/12,749,151,342
  6. Step 6: Final answer
    x = 58,412,002,598.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.