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Finding the Third Proportional to 4,782,475 and 10,346,438

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Solution

The third proportional to 4,782,475 and 10,346,438 is: 22,383,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,475 : 10,346,438 = 10,346,438 : x
  2. Step 2: Convert to fraction form
    4,782,475/10,346,438 = 10,346,438/x
  3. Step 3: Cross multiply
    4,782,475x = 10,346,438 × 10,346,438
  4. Step 4: Simplify right side
    4,782,475x = 107,048,779,287,844
  5. Step 5: Solve for x
    x = 107,048,779,287,844/4,782,475
  6. Step 6: Final answer
    x = 22,383,552.30

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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.