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Finding the Third Proportional to 6,275,991 and 9,698,007

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Solution

The third proportional to 6,275,991 and 9,698,007 is: 14,985,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275,991 : 9,698,007 = 9,698,007 : x
  2. Step 2: Convert to fraction form
    6,275,991/9,698,007 = 9,698,007/x
  3. Step 3: Cross multiply
    6,275,991x = 9,698,007 × 9,698,007
  4. Step 4: Simplify right side
    6,275,991x = 94,051,339,772,049
  5. Step 5: Solve for x
    x = 94,051,339,772,049/6,275,991
  6. Step 6: Final answer
    x = 14,985,894.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.