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Finding the Third Proportional to 5,297,107.50 and 7,497,459

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Solution

The third proportional to 5,297,107.50 and 7,497,459 is: 10,611,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,107.50 : 7,497,459 = 7,497,459 : x
  2. Step 2: Convert to fraction form
    5,297,107.50/7,497,459 = 7,497,459/x
  3. Step 3: Cross multiply
    5,297,107.50x = 7,497,459 × 7,497,459
  4. Step 4: Simplify right side
    5,297,107.50x = 56,211,891,456,681
  5. Step 5: Solve for x
    x = 56,211,891,456,681/5,297,107.50
  6. Step 6: Final answer
    x = 10,611,808.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.