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Finding the Third Proportional to 67,386,256 and 106,611,000

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Solution

The third proportional to 67,386,256 and 106,611,000 is: 168,668,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,386,256 : 106,611,000 = 106,611,000 : x
  2. Step 2: Convert to fraction form
    67,386,256/106,611,000 = 106,611,000/x
  3. Step 3: Cross multiply
    67,386,256x = 106,611,000 × 106,611,000
  4. Step 4: Simplify right side
    67,386,256x = 11,365,905,321,000,000
  5. Step 5: Solve for x
    x = 11,365,905,321,000,000/67,386,256
  6. Step 6: Final answer
    x = 168,668,004.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.