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Finding the Third Proportional to 30,417,609 and 67,635,960

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Solution

The third proportional to 30,417,609 and 67,635,960 is: 150,393,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417,609 : 67,635,960 = 67,635,960 : x
  2. Step 2: Convert to fraction form
    30,417,609/67,635,960 = 67,635,960/x
  3. Step 3: Cross multiply
    30,417,609x = 67,635,960 × 67,635,960
  4. Step 4: Simplify right side
    30,417,609x = 4,574,623,085,121,600
  5. Step 5: Solve for x
    x = 4,574,623,085,121,600/30,417,609
  6. Step 6: Final answer
    x = 150,393,907.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.