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Finding the Third Proportional to 6,985,776 and 15,033,912

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Solution

The third proportional to 6,985,776 and 15,033,912 is: 32,354,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985,776 : 15,033,912 = 15,033,912 : x
  2. Step 2: Convert to fraction form
    6,985,776/15,033,912 = 15,033,912/x
  3. Step 3: Cross multiply
    6,985,776x = 15,033,912 × 15,033,912
  4. Step 4: Simplify right side
    6,985,776x = 226,018,510,023,744
  5. Step 5: Solve for x
    x = 226,018,510,023,744/6,985,776
  6. Step 6: Final answer
    x = 32,354,102.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.