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Finding the Third Proportional to 9,432,336 and 20,209,434

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Solution

The third proportional to 9,432,336 and 20,209,434 is: 43,300,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432,336 : 20,209,434 = 20,209,434 : x
  2. Step 2: Convert to fraction form
    9,432,336/20,209,434 = 20,209,434/x
  3. Step 3: Cross multiply
    9,432,336x = 20,209,434 × 20,209,434
  4. Step 4: Simplify right side
    9,432,336x = 408,421,222,600,356
  5. Step 5: Solve for x
    x = 408,421,222,600,356/9,432,336
  6. Step 6: Final answer
    x = 43,300,113.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.