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Finding the Third Proportional to 4,649,434 and 10,032,834

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Solution

The third proportional to 4,649,434 and 10,032,834 is: 21,649,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,434 : 10,032,834 = 10,032,834 : x
  2. Step 2: Convert to fraction form
    4,649,434/10,032,834 = 10,032,834/x
  3. Step 3: Cross multiply
    4,649,434x = 10,032,834 × 10,032,834
  4. Step 4: Simplify right side
    4,649,434x = 100,657,758,071,556
  5. Step 5: Solve for x
    x = 100,657,758,071,556/4,649,434
  6. Step 6: Final answer
    x = 21,649,464.87

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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.