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Finding the Third Proportional to 4,316,969,418,214.50 and 9,599,151,583,894.50

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Solution

The third proportional to 4,316,969,418,214.50 and 9,599,151,583,894.50 is: 21,344,536,456,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316,969,418,214.50 : 9,599,151,583,894.50 = 9,599,151,583,894.50 : x
  2. Step 2: Convert to fraction form
    4,316,969,418,214.50/9,599,151,583,894.50 = 9,599,151,583,894.50/x
  3. Step 3: Cross multiply
    4,316,969,418,214.50x = 9,599,151,583,894.50 × 9,599,151,583,894.50
  4. Step 4: Simplify right side
    4,316,969,418,214.50x = 92,143,711,130,584,292,536,614,912
  5. Step 5: Solve for x
    x = 92,143,711,130,584,292,536,614,912/4,316,969,418,214.50
  6. Step 6: Final answer
    x = 21,344,536,456,942.28

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.