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Finding the Third Proportional to 12,485,642,312.25 and 18,039,597,008.63

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Solution

The third proportional to 12,485,642,312.25 and 18,039,597,008.63 is: 26,064,102,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485,642,312.25 : 18,039,597,008.63 = 18,039,597,008.63 : x
  2. Step 2: Convert to fraction form
    12,485,642,312.25/18,039,597,008.63 = 18,039,597,008.63/x
  3. Step 3: Cross multiply
    12,485,642,312.25x = 18,039,597,008.63 × 18,039,597,008.63
  4. Step 4: Simplify right side
    12,485,642,312.25x = 325,427,060,233,592,045,568
  5. Step 5: Solve for x
    x = 325,427,060,233,592,045,568/12,485,642,312.25
  6. Step 6: Final answer
    x = 26,064,102,438.23

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.