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Finding the Third Proportional to 5,394,900,312,788 and 11,649,654,171,673

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Solution

The third proportional to 5,394,900,312,788 and 11,649,654,171,673 is: 25,156,061,178,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,900,312,788 : 11,649,654,171,673 = 11,649,654,171,673 : x
  2. Step 2: Convert to fraction form
    5,394,900,312,788/11,649,654,171,673 = 11,649,654,171,673/x
  3. Step 3: Cross multiply
    5,394,900,312,788x = 11,649,654,171,673 × 11,649,654,171,673
  4. Step 4: Simplify right side
    5,394,900,312,788x = 135,714,442,319,578,132,004,208,640
  5. Step 5: Solve for x
    x = 135,714,442,319,578,132,004,208,640/5,394,900,312,788
  6. Step 6: Final answer
    x = 25,156,061,178,346.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.