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Finding the Third Proportional to 6,970,507 and 15,099,031

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Solution

The third proportional to 6,970,507 and 15,099,031 is: 32,706,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,507 : 15,099,031 = 15,099,031 : x
  2. Step 2: Convert to fraction form
    6,970,507/15,099,031 = 15,099,031/x
  3. Step 3: Cross multiply
    6,970,507x = 15,099,031 × 15,099,031
  4. Step 4: Simplify right side
    6,970,507x = 227,980,737,138,961
  5. Step 5: Solve for x
    x = 227,980,737,138,961/6,970,507
  6. Step 6: Final answer
    x = 32,706,478.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.