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Finding the Third Proportional to 10,968,097,754 and 16,709,138,247

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Solution

The third proportional to 10,968,097,754 and 16,709,138,247 is: 25,455,216,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,097,754 : 16,709,138,247 = 16,709,138,247 : x
  2. Step 2: Convert to fraction form
    10,968,097,754/16,709,138,247 = 16,709,138,247/x
  3. Step 3: Cross multiply
    10,968,097,754x = 16,709,138,247 × 16,709,138,247
  4. Step 4: Simplify right side
    10,968,097,754x = 279,195,300,957,358,227,456
  5. Step 5: Solve for x
    x = 279,195,300,957,358,227,456/10,968,097,754
  6. Step 6: Final answer
    x = 25,455,216,320.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.