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Finding the Third Proportional to 6,275,997 and 9,698,013

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Solution

The third proportional to 6,275,997 and 9,698,013 is: 14,985,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275,997 : 9,698,013 = 9,698,013 : x
  2. Step 2: Convert to fraction form
    6,275,997/9,698,013 = 9,698,013/x
  3. Step 3: Cross multiply
    6,275,997x = 9,698,013 × 9,698,013
  4. Step 4: Simplify right side
    6,275,997x = 94,051,456,148,169
  5. Step 5: Solve for x
    x = 94,051,456,148,169/6,275,997
  6. Step 6: Final answer
    x = 14,985,898.84

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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.