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Finding the Third Proportional to 12,125,919,636 and 26,537,752,820.25

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Solution

The third proportional to 12,125,919,636 and 26,537,752,820.25 is: 58,078,260,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125,919,636 : 26,537,752,820.25 = 26,537,752,820.25 : x
  2. Step 2: Convert to fraction form
    12,125,919,636/26,537,752,820.25 = 26,537,752,820.25/x
  3. Step 3: Cross multiply
    12,125,919,636x = 26,537,752,820.25 × 26,537,752,820.25
  4. Step 4: Simplify right side
    12,125,919,636x = 704,252,324,748,686,786,560
  5. Step 5: Solve for x
    x = 704,252,324,748,686,786,560/12,125,919,636
  6. Step 6: Final answer
    x = 58,078,260,939.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.