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Finding the Third Proportional to 66,592,118,310.75 and 155,386,978,998.75

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Solution

The third proportional to 66,592,118,310.75 and 155,386,978,998.75 is: 362,582,147,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,592,118,310.75 : 155,386,978,998.75 = 155,386,978,998.75 : x
  2. Step 2: Convert to fraction form
    66,592,118,310.75/155,386,978,998.75 = 155,386,978,998.75/x
  3. Step 3: Cross multiply
    66,592,118,310.75x = 155,386,978,998.75 × 155,386,978,998.75
  4. Step 4: Simplify right side
    66,592,118,310.75x = 24,145,113,242,357,974,695,936
  5. Step 5: Solve for x
    x = 24,145,113,242,357,974,695,936/66,592,118,310.75
  6. Step 6: Final answer
    x = 362,582,147,179.72

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.