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Finding the Third Proportional to 32,529,973 and 68,414,666

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Solution

The third proportional to 32,529,973 and 68,414,666 is: 143,884,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529,973 : 68,414,666 = 68,414,666 : x
  2. Step 2: Convert to fraction form
    32,529,973/68,414,666 = 68,414,666/x
  3. Step 3: Cross multiply
    32,529,973x = 68,414,666 × 68,414,666
  4. Step 4: Simplify right side
    32,529,973x = 4,680,566,523,891,556
  5. Step 5: Solve for x
    x = 4,680,566,523,891,556/32,529,973
  6. Step 6: Final answer
    x = 143,884,734.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.