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Finding the Third Proportional to 4,456,011 and 6,496,240.50

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Solution

The third proportional to 4,456,011 and 6,496,240.50 is: 9,470,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456,011 : 6,496,240.50 = 6,496,240.50 : x
  2. Step 2: Convert to fraction form
    4,456,011/6,496,240.50 = 6,496,240.50/x
  3. Step 3: Cross multiply
    4,456,011x = 6,496,240.50 × 6,496,240.50
  4. Step 4: Simplify right side
    4,456,011x = 42,201,140,633,840.25
  5. Step 5: Solve for x
    x = 42,201,140,633,840.25/4,456,011
  6. Step 6: Final answer
    x = 9,470,609.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.