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Finding the Third Proportional to 6,753,480 and 9,674,240

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Solution

The third proportional to 6,753,480 and 9,674,240 is: 13,858,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753,480 : 9,674,240 = 9,674,240 : x
  2. Step 2: Convert to fraction form
    6,753,480/9,674,240 = 9,674,240/x
  3. Step 3: Cross multiply
    6,753,480x = 9,674,240 × 9,674,240
  4. Step 4: Simplify right side
    6,753,480x = 93,590,919,577,600
  5. Step 5: Solve for x
    x = 93,590,919,577,600/6,753,480
  6. Step 6: Final answer
    x = 13,858,176.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.