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Finding the Third Proportional to 4,782,478 and 10,346,444

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Solution

The third proportional to 4,782,478 and 10,346,444 is: 22,383,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,478 : 10,346,444 = 10,346,444 : x
  2. Step 2: Convert to fraction form
    4,782,478/10,346,444 = 10,346,444/x
  3. Step 3: Cross multiply
    4,782,478x = 10,346,444 × 10,346,444
  4. Step 4: Simplify right side
    4,782,478x = 107,048,903,445,136
  5. Step 5: Solve for x
    x = 107,048,903,445,136/4,782,478
  6. Step 6: Final answer
    x = 22,383,564.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.