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Finding the Third Proportional to 464,901,078 and 1,011,519,996

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Solution

The third proportional to 464,901,078 and 1,011,519,996 is: 2,200,839,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,901,078 : 1,011,519,996 = 1,011,519,996 : x
  2. Step 2: Convert to fraction form
    464,901,078/1,011,519,996 = 1,011,519,996/x
  3. Step 3: Cross multiply
    464,901,078x = 1,011,519,996 × 1,011,519,996
  4. Step 4: Simplify right side
    464,901,078x = 1,023,172,702,307,840,000
  5. Step 5: Solve for x
    x = 1,023,172,702,307,840,000/464,901,078
  6. Step 6: Final answer
    x = 2,200,839,599.49

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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.