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Finding the Third Proportional to 68,064,014 and 149,352,844

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Solution

The third proportional to 68,064,014 and 149,352,844 is: 327,724,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064,014 : 149,352,844 = 149,352,844 : x
  2. Step 2: Convert to fraction form
    68,064,014/149,352,844 = 149,352,844/x
  3. Step 3: Cross multiply
    68,064,014x = 149,352,844 × 149,352,844
  4. Step 4: Simplify right side
    68,064,014x = 22,306,272,010,888,336
  5. Step 5: Solve for x
    x = 22,306,272,010,888,336/68,064,014
  6. Step 6: Final answer
    x = 327,724,897.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.