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Finding the Third Proportional to 6,678,325.50 and 10,583,416.50

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Solution

The third proportional to 6,678,325.50 and 10,583,416.50 is: 16,771,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678,325.50 : 10,583,416.50 = 10,583,416.50 : x
  2. Step 2: Convert to fraction form
    6,678,325.50/10,583,416.50 = 10,583,416.50/x
  3. Step 3: Cross multiply
    6,678,325.50x = 10,583,416.50 × 10,583,416.50
  4. Step 4: Simplify right side
    6,678,325.50x = 112,008,704,812,472.25
  5. Step 5: Solve for x
    x = 112,008,704,812,472.25/6,678,325.50
  6. Step 6: Final answer
    x = 16,771,974.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.