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Finding the Third Proportional to 6,057,776,235 and 9,305,486,006

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Solution

The third proportional to 6,057,776,235 and 9,305,486,006 is: 14,294,365,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,776,235 : 9,305,486,006 = 9,305,486,006 : x
  2. Step 2: Convert to fraction form
    6,057,776,235/9,305,486,006 = 9,305,486,006/x
  3. Step 3: Cross multiply
    6,057,776,235x = 9,305,486,006 × 9,305,486,006
  4. Step 4: Simplify right side
    6,057,776,235x = 86,592,069,807,861,825,536
  5. Step 5: Solve for x
    x = 86,592,069,807,861,825,536/6,057,776,235
  6. Step 6: Final answer
    x = 14,294,365,861.12

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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.