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Finding the Third Proportional to 4,756,099.50 and 10,184,802.75

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Solution

The third proportional to 4,756,099.50 and 10,184,802.75 is: 21,809,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756,099.50 : 10,184,802.75 = 10,184,802.75 : x
  2. Step 2: Convert to fraction form
    4,756,099.50/10,184,802.75 = 10,184,802.75/x
  3. Step 3: Cross multiply
    4,756,099.50x = 10,184,802.75 × 10,184,802.75
  4. Step 4: Simplify right side
    4,756,099.50x = 103,730,207,056,407.56
  5. Step 5: Solve for x
    x = 103,730,207,056,407.56/4,756,099.50
  6. Step 6: Final answer
    x = 21,809,932.08

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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.