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Finding the Third Proportional to 30,842,937 and 67,739,694

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Solution

The third proportional to 30,842,937 and 67,739,694 is: 148,775,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842,937 : 67,739,694 = 67,739,694 : x
  2. Step 2: Convert to fraction form
    30,842,937/67,739,694 = 67,739,694/x
  3. Step 3: Cross multiply
    30,842,937x = 67,739,694 × 67,739,694
  4. Step 4: Simplify right side
    30,842,937x = 4,588,666,143,213,636
  5. Step 5: Solve for x
    x = 4,588,666,143,213,636/30,842,937
  6. Step 6: Final answer
    x = 148,775,265.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.