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Finding the Third Proportional to 6,057,776,241 and 9,305,486,013

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Solution

The third proportional to 6,057,776,241 and 9,305,486,013 is: 14,294,365,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,776,241 : 9,305,486,013 = 9,305,486,013 : x
  2. Step 2: Convert to fraction form
    6,057,776,241/9,305,486,013 = 9,305,486,013/x
  3. Step 3: Cross multiply
    6,057,776,241x = 9,305,486,013 × 9,305,486,013
  4. Step 4: Simplify right side
    6,057,776,241x = 86,592,069,938,138,628,096
  5. Step 5: Solve for x
    x = 86,592,069,938,138,628,096/6,057,776,241
  6. Step 6: Final answer
    x = 14,294,365,868.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.