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Finding the Third Proportional to 2,429,239,148,193 and 5,059,544,991,774

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Solution

The third proportional to 2,429,239,148,193 and 5,059,544,991,774 is: 10,537,865,546,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,239,148,193 : 5,059,544,991,774 = 5,059,544,991,774 : x
  2. Step 2: Convert to fraction form
    2,429,239,148,193/5,059,544,991,774 = 5,059,544,991,774/x
  3. Step 3: Cross multiply
    2,429,239,148,193x = 5,059,544,991,774 × 5,059,544,991,774
  4. Step 4: Simplify right side
    2,429,239,148,193x = 25,598,995,523,785,364,869,218,304
  5. Step 5: Solve for x
    x = 25,598,995,523,785,364,869,218,304/2,429,239,148,193
  6. Step 6: Final answer
    x = 10,537,865,546,431.39

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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.