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Finding the Third Proportional to 30,904,223.63 and 64,351,735.03

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Solution

The third proportional to 30,904,223.63 and 64,351,735.03 is: 133,999,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904,223.63 : 64,351,735.03 = 64,351,735.03 : x
  2. Step 2: Convert to fraction form
    30,904,223.63/64,351,735.03 = 64,351,735.03/x
  3. Step 3: Cross multiply
    30,904,223.63x = 64,351,735.03 × 64,351,735.03
  4. Step 4: Simplify right side
    30,904,223.63x = 4,141,145,801,532,208.50
  5. Step 5: Solve for x
    x = 4,141,145,801,532,208.50/30,904,223.63
  6. Step 6: Final answer
    x = 133,999,347.53

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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.