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Finding the Third Proportional to 30,843,780 and 67,004,760

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Solution

The third proportional to 30,843,780 and 67,004,760 is: 145,560,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843,780 : 67,004,760 = 67,004,760 : x
  2. Step 2: Convert to fraction form
    30,843,780/67,004,760 = 67,004,760/x
  3. Step 3: Cross multiply
    30,843,780x = 67,004,760 × 67,004,760
  4. Step 4: Simplify right side
    30,843,780x = 4,489,637,862,657,600
  5. Step 5: Solve for x
    x = 4,489,637,862,657,600/30,843,780
  6. Step 6: Final answer
    x = 145,560,559.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.