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Finding the Third Proportional to 6,057,776,261 and 9,305,486,045

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Solution

The third proportional to 6,057,776,261 and 9,305,486,045 is: 14,294,365,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,776,261 : 9,305,486,045 = 9,305,486,045 : x
  2. Step 2: Convert to fraction form
    6,057,776,261/9,305,486,045 = 9,305,486,045/x
  3. Step 3: Cross multiply
    6,057,776,261x = 9,305,486,045 × 9,305,486,045
  4. Step 4: Simplify right side
    6,057,776,261x = 86,592,070,533,689,737,216
  5. Step 5: Solve for x
    x = 86,592,070,533,689,737,216/6,057,776,261
  6. Step 6: Final answer
    x = 14,294,365,919.58

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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.