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Finding the Third Proportional to 12,749,151,348 and 27,289,255,431

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Solution

The third proportional to 12,749,151,348 and 27,289,255,431 is: 58,412,002,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749,151,348 : 27,289,255,431 = 27,289,255,431 : x
  2. Step 2: Convert to fraction form
    12,749,151,348/27,289,255,431 = 27,289,255,431/x
  3. Step 3: Cross multiply
    12,749,151,348x = 27,289,255,431 × 27,289,255,431
  4. Step 4: Simplify right side
    12,749,151,348x = 744,703,461,978,363,002,880
  5. Step 5: Solve for x
    x = 744,703,461,978,363,002,880/12,749,151,348
  6. Step 6: Final answer
    x = 58,412,002,622.84

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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.