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Finding the Third Proportional to 6,998,469 and 10,497,703.50

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Solution

The third proportional to 6,998,469 and 10,497,703.50 is: 15,746,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,469 : 10,497,703.50 = 10,497,703.50 : x
  2. Step 2: Convert to fraction form
    6,998,469/10,497,703.50 = 10,497,703.50/x
  3. Step 3: Cross multiply
    6,998,469x = 10,497,703.50 × 10,497,703.50
  4. Step 4: Simplify right side
    6,998,469x = 110,201,778,773,912.25
  5. Step 5: Solve for x
    x = 110,201,778,773,912.25/6,998,469
  6. Step 6: Final answer
    x = 15,746,555.25

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Why These Related Problems?

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