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Finding the Third Proportional to 9,577,649.75 and 21,281,063.50

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Solution

The third proportional to 9,577,649.75 and 21,281,063.50 is: 47,285,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,649.75 : 21,281,063.50 = 21,281,063.50 : x
  2. Step 2: Convert to fraction form
    9,577,649.75/21,281,063.50 = 21,281,063.50/x
  3. Step 3: Cross multiply
    9,577,649.75x = 21,281,063.50 × 21,281,063.50
  4. Step 4: Simplify right side
    9,577,649.75x = 452,883,663,691,032.25
  5. Step 5: Solve for x
    x = 452,883,663,691,032.25/9,577,649.75
  6. Step 6: Final answer
    x = 47,285,469.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.