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Finding the Third Proportional to 6,496,585 and 9,082,353

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Solution

The third proportional to 6,496,585 and 9,082,353 is: 12,697,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496,585 : 9,082,353 = 9,082,353 : x
  2. Step 2: Convert to fraction form
    6,496,585/9,082,353 = 9,082,353/x
  3. Step 3: Cross multiply
    6,496,585x = 9,082,353 × 9,082,353
  4. Step 4: Simplify right side
    6,496,585x = 82,489,136,016,609
  5. Step 5: Solve for x
    x = 82,489,136,016,609/6,496,585
  6. Step 6: Final answer
    x = 12,697,307.28

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.