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Finding the Third Proportional to 15,415,959,841 and 24,529,822,640

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Solution

The third proportional to 15,415,959,841 and 24,529,822,640 is: 39,031,769,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415,959,841 : 24,529,822,640 = 24,529,822,640 : x
  2. Step 2: Convert to fraction form
    15,415,959,841/24,529,822,640 = 24,529,822,640/x
  3. Step 3: Cross multiply
    15,415,959,841x = 24,529,822,640 × 24,529,822,640
  4. Step 4: Simplify right side
    15,415,959,841x = 601,712,198,749,856,595,968
  5. Step 5: Solve for x
    x = 601,712,198,749,856,595,968/15,415,959,841
  6. Step 6: Final answer
    x = 39,031,769,993.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.