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Finding the Third Proportional to 9,105,664.50 and 19,509,385.50

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Solution

The third proportional to 9,105,664.50 and 19,509,385.50 is: 41,799,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105,664.50 : 19,509,385.50 = 19,509,385.50 : x
  2. Step 2: Convert to fraction form
    9,105,664.50/19,509,385.50 = 19,509,385.50/x
  3. Step 3: Cross multiply
    9,105,664.50x = 19,509,385.50 × 19,509,385.50
  4. Step 4: Simplify right side
    9,105,664.50x = 380,616,122,587,610.25
  5. Step 5: Solve for x
    x = 380,616,122,587,610.25/9,105,664.50
  6. Step 6: Final answer
    x = 41,799,928.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.