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Finding the Third Proportional to 5,620,175,599,405.50 and 7,582,936,503,658.50

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Solution

The third proportional to 5,620,175,599,405.50 and 7,582,936,503,658.50 is: 10,231,161,820,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620,175,599,405.50 : 7,582,936,503,658.50 = 7,582,936,503,658.50 : x
  2. Step 2: Convert to fraction form
    5,620,175,599,405.50/7,582,936,503,658.50 = 7,582,936,503,658.50/x
  3. Step 3: Cross multiply
    5,620,175,599,405.50x = 7,582,936,503,658.50 × 7,582,936,503,658.50
  4. Step 4: Simplify right side
    5,620,175,599,405.50x = 57,500,926,018,516,595,526,074,368
  5. Step 5: Solve for x
    x = 57,500,926,018,516,595,526,074,368/5,620,175,599,405.50
  6. Step 6: Final answer
    x = 10,231,161,820,744.36

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.