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Finding the Third Proportional to 11,746,653,037 and 18,630,919,137

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Solution

The third proportional to 11,746,653,037 and 18,630,919,137 is: 29,549,791,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746,653,037 : 18,630,919,137 = 18,630,919,137 : x
  2. Step 2: Convert to fraction form
    11,746,653,037/18,630,919,137 = 18,630,919,137/x
  3. Step 3: Cross multiply
    11,746,653,037x = 18,630,919,137 × 18,630,919,137
  4. Step 4: Simplify right side
    11,746,653,037x = 347,111,147,889,432,854,528
  5. Step 5: Solve for x
    x = 347,111,147,889,432,854,528/11,746,653,037
  6. Step 6: Final answer
    x = 29,549,791,484.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.