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Finding the Third Proportional to 10,791,180,774 and 16,186,771,158

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Solution

The third proportional to 10,791,180,774 and 16,186,771,158 is: 24,280,156,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791,180,774 : 16,186,771,158 = 16,186,771,158 : x
  2. Step 2: Convert to fraction form
    10,791,180,774/16,186,771,158 = 16,186,771,158/x
  3. Step 3: Cross multiply
    10,791,180,774x = 16,186,771,158 × 16,186,771,158
  4. Step 4: Simplify right side
    10,791,180,774x = 262,011,560,521,460,645,888
  5. Step 5: Solve for x
    x = 262,011,560,521,460,645,888/10,791,180,774
  6. Step 6: Final answer
    x = 24,280,156,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.