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Finding the Third Proportional to 10,296,810 and 15,578,076

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Solution

The third proportional to 10,296,810 and 15,578,076 is: 23,568,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296,810 : 15,578,076 = 15,578,076 : x
  2. Step 2: Convert to fraction form
    10,296,810/15,578,076 = 15,578,076/x
  3. Step 3: Cross multiply
    10,296,810x = 15,578,076 × 15,578,076
  4. Step 4: Simplify right side
    10,296,810x = 242,676,451,861,776
  5. Step 5: Solve for x
    x = 242,676,451,861,776/10,296,810
  6. Step 6: Final answer
    x = 23,568,119.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.