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Finding the Third Proportional to 6,960,448 and 9,801,984

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Solution

The third proportional to 6,960,448 and 9,801,984 is: 13,803,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960,448 : 9,801,984 = 9,801,984 : x
  2. Step 2: Convert to fraction form
    6,960,448/9,801,984 = 9,801,984/x
  3. Step 3: Cross multiply
    6,960,448x = 9,801,984 × 9,801,984
  4. Step 4: Simplify right side
    6,960,448x = 96,078,890,336,256
  5. Step 5: Solve for x
    x = 96,078,890,336,256/6,960,448
  6. Step 6: Final answer
    x = 13,803,549.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.