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Finding the Third Proportional to 9,104,496.19 and 19,500,264

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Solution

The third proportional to 9,104,496.19 and 19,500,264 is: 41,766,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104,496.19 : 19,500,264 = 19,500,264 : x
  2. Step 2: Convert to fraction form
    9,104,496.19/19,500,264 = 19,500,264/x
  3. Step 3: Cross multiply
    9,104,496.19x = 19,500,264 × 19,500,264
  4. Step 4: Simplify right side
    9,104,496.19x = 380,260,296,069,696
  5. Step 5: Solve for x
    x = 380,260,296,069,696/9,104,496.19
  6. Step 6: Final answer
    x = 41,766,209.60

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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.