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Finding the Third Proportional to 9,797,115,483 and 15,128,856,648

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Solution

The third proportional to 9,797,115,483 and 15,128,856,648 is: 23,362,213,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797,115,483 : 15,128,856,648 = 15,128,856,648 : x
  2. Step 2: Convert to fraction form
    9,797,115,483/15,128,856,648 = 15,128,856,648/x
  3. Step 3: Cross multiply
    9,797,115,483x = 15,128,856,648 × 15,128,856,648
  4. Step 4: Simplify right side
    9,797,115,483x = 228,882,303,475,733,790,720
  5. Step 5: Solve for x
    x = 228,882,303,475,733,790,720/9,797,115,483
  6. Step 6: Final answer
    x = 23,362,213,487.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.