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Finding the Third Proportional to 10,471,248,122 and 16,669,880,206.50

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Solution

The third proportional to 10,471,248,122 and 16,669,880,206.50 is: 26,537,897,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471,248,122 : 16,669,880,206.50 = 16,669,880,206.50 : x
  2. Step 2: Convert to fraction form
    10,471,248,122/16,669,880,206.50 = 16,669,880,206.50/x
  3. Step 3: Cross multiply
    10,471,248,122x = 16,669,880,206.50 × 16,669,880,206.50
  4. Step 4: Simplify right side
    10,471,248,122x = 277,884,906,099,060,473,856
  5. Step 5: Solve for x
    x = 277,884,906,099,060,473,856/10,471,248,122
  6. Step 6: Final answer
    x = 26,537,897,188.71

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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.