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Finding the Third Proportional to 4,480,243 and 9,831,396.50

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Solution

The third proportional to 4,480,243 and 9,831,396.50 is: 21,573,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480,243 : 9,831,396.50 = 9,831,396.50 : x
  2. Step 2: Convert to fraction form
    4,480,243/9,831,396.50 = 9,831,396.50/x
  3. Step 3: Cross multiply
    4,480,243x = 9,831,396.50 × 9,831,396.50
  4. Step 4: Simplify right side
    4,480,243x = 96,656,357,140,212.25
  5. Step 5: Solve for x
    x = 96,656,357,140,212.25/4,480,243
  6. Step 6: Final answer
    x = 21,573,909.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.