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Finding the Third Proportional to 2,429,239,148,264 and 5,059,544,991,932

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Solution

The third proportional to 2,429,239,148,264 and 5,059,544,991,932 is: 10,537,865,546,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,239,148,264 : 5,059,544,991,932 = 5,059,544,991,932 : x
  2. Step 2: Convert to fraction form
    2,429,239,148,264/5,059,544,991,932 = 5,059,544,991,932/x
  3. Step 3: Cross multiply
    2,429,239,148,264x = 5,059,544,991,932 × 5,059,544,991,932
  4. Step 4: Simplify right side
    2,429,239,148,264x = 25,598,995,525,384,183,625,023,488
  5. Step 5: Solve for x
    x = 25,598,995,525,384,183,625,023,488/2,429,239,148,264
  6. Step 6: Final answer
    x = 10,537,865,546,781.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.