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Finding the Third Proportional to 824,372,776 and 1,777,882,050

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Solution

The third proportional to 824,372,776 and 1,777,882,050 is: 3,834,266,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,776 : 1,777,882,050 = 1,777,882,050 : x
  2. Step 2: Convert to fraction form
    824,372,776/1,777,882,050 = 1,777,882,050/x
  3. Step 3: Cross multiply
    824,372,776x = 1,777,882,050 × 1,777,882,050
  4. Step 4: Simplify right side
    824,372,776x = 3,160,864,583,712,202,752
  5. Step 5: Solve for x
    x = 3,160,864,583,712,202,752/824,372,776
  6. Step 6: Final answer
    x = 3,834,266,093.85

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Why These Related Problems?

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