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Finding the Third Proportional to 69,776,486,226 and 152,181,782,136

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Solution

The third proportional to 69,776,486,226 and 152,181,782,136 is: 331,906,865,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,776,486,226 : 152,181,782,136 = 152,181,782,136 : x
  2. Step 2: Convert to fraction form
    69,776,486,226/152,181,782,136 = 152,181,782,136/x
  3. Step 3: Cross multiply
    69,776,486,226x = 152,181,782,136 × 152,181,782,136
  4. Step 4: Simplify right side
    69,776,486,226x = 23,159,294,814,088,968,798,208
  5. Step 5: Solve for x
    x = 23,159,294,814,088,968,798,208/69,776,486,226
  6. Step 6: Final answer
    x = 331,906,865,288.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.