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Finding the Third Proportional to 1,940,565,299.63 and 4,221,137,662.88

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Solution

The third proportional to 1,940,565,299.63 and 4,221,137,662.88 is: 9,181,862,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,565,299.63 : 4,221,137,662.88 = 4,221,137,662.88 : x
  2. Step 2: Convert to fraction form
    1,940,565,299.63/4,221,137,662.88 = 4,221,137,662.88/x
  3. Step 3: Cross multiply
    1,940,565,299.63x = 4,221,137,662.88 × 4,221,137,662.88
  4. Step 4: Simplify right side
    1,940,565,299.63x = 17,818,003,168,941,817,856
  5. Step 5: Solve for x
    x = 17,818,003,168,941,817,856/1,940,565,299.63
  6. Step 6: Final answer
    x = 9,181,862,198.81

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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.