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Finding the Third Proportional to 5,564,511,082.69 and 12,000,695,848.88

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Solution

The third proportional to 5,564,511,082.69 and 12,000,695,848.88 is: 25,881,285,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564,511,082.69 : 12,000,695,848.88 = 12,000,695,848.88 : x
  2. Step 2: Convert to fraction form
    5,564,511,082.69/12,000,695,848.88 = 12,000,695,848.88/x
  3. Step 3: Cross multiply
    5,564,511,082.69x = 12,000,695,848.88 × 12,000,695,848.88
  4. Step 4: Simplify right side
    5,564,511,082.69x = 144,016,700,857,205,653,504
  5. Step 5: Solve for x
    x = 144,016,700,857,205,653,504/5,564,511,082.69
  6. Step 6: Final answer
    x = 25,881,285,654.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.