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Finding the Third Proportional to 8,517,210,972 and 18,637,314,444

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Solution

The third proportional to 8,517,210,972 and 18,637,314,444 is: 40,782,069,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517,210,972 : 18,637,314,444 = 18,637,314,444 : x
  2. Step 2: Convert to fraction form
    8,517,210,972/18,637,314,444 = 18,637,314,444/x
  3. Step 3: Cross multiply
    8,517,210,972x = 18,637,314,444 × 18,637,314,444
  4. Step 4: Simplify right side
    8,517,210,972x = 347,349,489,684,531,052,544
  5. Step 5: Solve for x
    x = 347,349,489,684,531,052,544/8,517,210,972
  6. Step 6: Final answer
    x = 40,782,069,485.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.