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Finding the Third Proportional to 6,111,961 and 8,271,106

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Solution

The third proportional to 6,111,961 and 8,271,106 is: 11,193,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,961 : 8,271,106 = 8,271,106 : x
  2. Step 2: Convert to fraction form
    6,111,961/8,271,106 = 8,271,106/x
  3. Step 3: Cross multiply
    6,111,961x = 8,271,106 × 8,271,106
  4. Step 4: Simplify right side
    6,111,961x = 68,411,194,463,236
  5. Step 5: Solve for x
    x = 68,411,194,463,236/6,111,961
  6. Step 6: Final answer
    x = 11,193,002.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.