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Finding the Third Proportional to 7,689,836 and 18,152,592

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Solution

The third proportional to 7,689,836 and 18,152,592 is: 42,850,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,836 : 18,152,592 = 18,152,592 : x
  2. Step 2: Convert to fraction form
    7,689,836/18,152,592 = 18,152,592/x
  3. Step 3: Cross multiply
    7,689,836x = 18,152,592 × 18,152,592
  4. Step 4: Simplify right side
    7,689,836x = 329,516,596,318,464
  5. Step 5: Solve for x
    x = 329,516,596,318,464/7,689,836
  6. Step 6: Final answer
    x = 42,850,926.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.