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Finding the Third Proportional to 347,839,158.25 and 758,178,375.50

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Solution

The third proportional to 347,839,158.25 and 758,178,375.50 is: 1,652,586,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,839,158.25 : 758,178,375.50 = 758,178,375.50 : x
  2. Step 2: Convert to fraction form
    347,839,158.25/758,178,375.50 = 758,178,375.50/x
  3. Step 3: Cross multiply
    347,839,158.25x = 758,178,375.50 × 758,178,375.50
  4. Step 4: Simplify right side
    347,839,158.25x = 574,834,449,075,819,008
  5. Step 5: Solve for x
    x = 574,834,449,075,819,008/347,839,158.25
  6. Step 6: Final answer
    x = 1,652,586,936.93

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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.