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Finding the Third Proportional to 19,409,802.19 and 41,546,180.81

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Solution

The third proportional to 19,409,802.19 and 41,546,180.81 is: 88,928,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409,802.19 : 41,546,180.81 = 41,546,180.81 : x
  2. Step 2: Convert to fraction form
    19,409,802.19/41,546,180.81 = 41,546,180.81/x
  3. Step 3: Cross multiply
    19,409,802.19x = 41,546,180.81 × 41,546,180.81
  4. Step 4: Simplify right side
    19,409,802.19x = 1,726,085,140,104,943.25
  5. Step 5: Solve for x
    x = 1,726,085,140,104,943.25/19,409,802.19
  6. Step 6: Final answer
    x = 88,928,528.14

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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.