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Finding the Third Proportional to 10,725,082 and 13,770,714

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Solution

The third proportional to 10,725,082 and 13,770,714 is: 17,681,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725,082 : 13,770,714 = 13,770,714 : x
  2. Step 2: Convert to fraction form
    10,725,082/13,770,714 = 13,770,714/x
  3. Step 3: Cross multiply
    10,725,082x = 13,770,714 × 13,770,714
  4. Step 4: Simplify right side
    10,725,082x = 189,632,564,069,796
  5. Step 5: Solve for x
    x = 189,632,564,069,796/10,725,082
  6. Step 6: Final answer
    x = 17,681,222.77

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.