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Finding the Third Proportional to 6,330,082,254 and 9,305,501,697

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Solution

The third proportional to 6,330,082,254 and 9,305,501,697 is: 13,679,500,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330,082,254 : 9,305,501,697 = 9,305,501,697 : x
  2. Step 2: Convert to fraction form
    6,330,082,254/9,305,501,697 = 9,305,501,697/x
  3. Step 3: Cross multiply
    6,330,082,254x = 9,305,501,697 × 9,305,501,697
  4. Step 4: Simplify right side
    6,330,082,254x = 86,592,361,832,869,888,000
  5. Step 5: Solve for x
    x = 86,592,361,832,869,888,000/6,330,082,254
  6. Step 6: Final answer
    x = 13,679,500,258.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.