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Finding the Third Proportional to 6,975,896 and 10,470,800

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Solution

The third proportional to 6,975,896 and 10,470,800 is: 15,716,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975,896 : 10,470,800 = 10,470,800 : x
  2. Step 2: Convert to fraction form
    6,975,896/10,470,800 = 10,470,800/x
  3. Step 3: Cross multiply
    6,975,896x = 10,470,800 × 10,470,800
  4. Step 4: Simplify right side
    6,975,896x = 109,637,652,640,000
  5. Step 5: Solve for x
    x = 109,637,652,640,000/6,975,896
  6. Step 6: Final answer
    x = 15,716,640.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.