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Finding the Third Proportional to 57,453,577 and 122,869,778

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Solution

The third proportional to 57,453,577 and 122,869,778 is: 262,768,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453,577 : 122,869,778 = 122,869,778 : x
  2. Step 2: Convert to fraction form
    57,453,577/122,869,778 = 122,869,778/x
  3. Step 3: Cross multiply
    57,453,577x = 122,869,778 × 122,869,778
  4. Step 4: Simplify right side
    57,453,577x = 15,096,982,345,769,284
  5. Step 5: Solve for x
    x = 15,096,982,345,769,284/57,453,577
  6. Step 6: Final answer
    x = 262,768,362.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.