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Finding the Third Proportional to 2,157,034,455 and 4,647,283,510.50

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Solution

The third proportional to 2,157,034,455 and 4,647,283,510.50 is: 10,012,470,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,034,455 : 4,647,283,510.50 = 4,647,283,510.50 : x
  2. Step 2: Convert to fraction form
    2,157,034,455/4,647,283,510.50 = 4,647,283,510.50/x
  3. Step 3: Cross multiply
    2,157,034,455x = 4,647,283,510.50 × 4,647,283,510.50
  4. Step 4: Simplify right side
    2,157,034,455x = 21,597,244,026,965,204,992
  5. Step 5: Solve for x
    x = 21,597,244,026,965,204,992/2,157,034,455
  6. Step 6: Final answer
    x = 10,012,470,582.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.