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Finding the Third Proportional to 30,904,229.25 and 64,351,746

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Solution

The third proportional to 30,904,229.25 and 64,351,746 is: 133,999,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904,229.25 : 64,351,746 = 64,351,746 : x
  2. Step 2: Convert to fraction form
    30,904,229.25/64,351,746 = 64,351,746/x
  3. Step 3: Cross multiply
    30,904,229.25x = 64,351,746 × 64,351,746
  4. Step 4: Simplify right side
    30,904,229.25x = 4,141,147,213,248,516
  5. Step 5: Solve for x
    x = 4,141,147,213,248,516/30,904,229.25
  6. Step 6: Final answer
    x = 133,999,368.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.