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Finding the Third Proportional to 41,834,162,758 and 89,636,518,206

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Solution

The third proportional to 41,834,162,758 and 89,636,518,206 is: 192,060,862,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834,162,758 : 89,636,518,206 = 89,636,518,206 : x
  2. Step 2: Convert to fraction form
    41,834,162,758/89,636,518,206 = 89,636,518,206/x
  3. Step 3: Cross multiply
    41,834,162,758x = 89,636,518,206 × 89,636,518,206
  4. Step 4: Simplify right side
    41,834,162,758x = 8,034,705,396,094,569,807,872
  5. Step 5: Solve for x
    x = 8,034,705,396,094,569,807,872/41,834,162,758
  6. Step 6: Final answer
    x = 192,060,862,854.44

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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.