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Finding the Third Proportional to 6,416,784 and 8,563,032

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Solution

The third proportional to 6,416,784 and 8,563,032 is: 11,427,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,784 : 8,563,032 = 8,563,032 : x
  2. Step 2: Convert to fraction form
    6,416,784/8,563,032 = 8,563,032/x
  3. Step 3: Cross multiply
    6,416,784x = 8,563,032 × 8,563,032
  4. Step 4: Simplify right side
    6,416,784x = 73,325,517,033,024
  5. Step 5: Solve for x
    x = 73,325,517,033,024/6,416,784
  6. Step 6: Final answer
    x = 11,427,144.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.