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Finding the Third Proportional to 9,565,663,690.13 and 13,464,692,471.25

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Solution

The third proportional to 9,565,663,690.13 and 13,464,692,471.25 is: 18,952,991,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565,663,690.13 : 13,464,692,471.25 = 13,464,692,471.25 : x
  2. Step 2: Convert to fraction form
    9,565,663,690.13/13,464,692,471.25 = 13,464,692,471.25/x
  3. Step 3: Cross multiply
    9,565,663,690.13x = 13,464,692,471.25 × 13,464,692,471.25
  4. Step 4: Simplify right side
    9,565,663,690.13x = 181,297,943,345,336,418,304
  5. Step 5: Solve for x
    x = 181,297,943,345,336,418,304/9,565,663,690.13
  6. Step 6: Final answer
    x = 18,952,991,576.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.