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Finding the Third Proportional to 30,200,726 and 45,304,370

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Solution

The third proportional to 30,200,726 and 45,304,370 is: 67,961,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200,726 : 45,304,370 = 45,304,370 : x
  2. Step 2: Convert to fraction form
    30,200,726/45,304,370 = 45,304,370/x
  3. Step 3: Cross multiply
    30,200,726x = 45,304,370 × 45,304,370
  4. Step 4: Simplify right side
    30,200,726x = 2,052,485,941,096,900
  5. Step 5: Solve for x
    x = 2,052,485,941,096,900/30,200,726
  6. Step 6: Final answer
    x = 67,961,476.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.