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Finding the Third Proportional to 653,109,978 and 1,410,117,036

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Solution

The third proportional to 653,109,978 and 1,410,117,036 is: 3,044,556,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,109,978 : 1,410,117,036 = 1,410,117,036 : x
  2. Step 2: Convert to fraction form
    653,109,978/1,410,117,036 = 1,410,117,036/x
  3. Step 3: Cross multiply
    653,109,978x = 1,410,117,036 × 1,410,117,036
  4. Step 4: Simplify right side
    653,109,978x = 1,988,430,055,217,425,408
  5. Step 5: Solve for x
    x = 1,988,430,055,217,425,408/653,109,978
  6. Step 6: Final answer
    x = 3,044,556,234.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.