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Finding the Third Proportional to 4,635,664.75 and 10,069,353.88

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Solution

The third proportional to 4,635,664.75 and 10,069,353.88 is: 21,872,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635,664.75 : 10,069,353.88 = 10,069,353.88 : x
  2. Step 2: Convert to fraction form
    4,635,664.75/10,069,353.88 = 10,069,353.88/x
  3. Step 3: Cross multiply
    4,635,664.75x = 10,069,353.88 × 10,069,353.88
  4. Step 4: Simplify right side
    4,635,664.75x = 101,391,887,459,977.52
  5. Step 5: Solve for x
    x = 101,391,887,459,977.52/4,635,664.75
  6. Step 6: Final answer
    x = 21,872,135.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.