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Finding the Third Proportional to 67,569,566 and 147,524,656

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Solution

The third proportional to 67,569,566 and 147,524,656 is: 322,090,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,569,566 : 147,524,656 = 147,524,656 : x
  2. Step 2: Convert to fraction form
    67,569,566/147,524,656 = 147,524,656/x
  3. Step 3: Cross multiply
    67,569,566x = 147,524,656 × 147,524,656
  4. Step 4: Simplify right side
    67,569,566x = 21,763,524,127,918,336
  5. Step 5: Solve for x
    x = 21,763,524,127,918,336/67,569,566
  6. Step 6: Final answer
    x = 322,090,630.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.