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Finding the Third Proportional to 1,996,644,631.85 and 4,270,252,840.24

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Solution

The third proportional to 1,996,644,631.85 and 4,270,252,840.24 is: 9,132,851,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,644,631.85 : 4,270,252,840.24 = 4,270,252,840.24 : x
  2. Step 2: Convert to fraction form
    1,996,644,631.85/4,270,252,840.24 = 4,270,252,840.24/x
  3. Step 3: Cross multiply
    1,996,644,631.85x = 4,270,252,840.24 × 4,270,252,840.24
  4. Step 4: Simplify right side
    1,996,644,631.85x = 18,235,059,319,596,574,720
  5. Step 5: Solve for x
    x = 18,235,059,319,596,574,720/1,996,644,631.85
  6. Step 6: Final answer
    x = 9,132,851,699.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.