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Finding the Third Proportional to 4,830,793 and 10,418,207

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Solution

The third proportional to 4,830,793 and 10,418,207 is: 22,468,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830,793 : 10,418,207 = 10,418,207 : x
  2. Step 2: Convert to fraction form
    4,830,793/10,418,207 = 10,418,207/x
  3. Step 3: Cross multiply
    4,830,793x = 10,418,207 × 10,418,207
  4. Step 4: Simplify right side
    4,830,793x = 108,539,037,094,849
  5. Step 5: Solve for x
    x = 108,539,037,094,849/4,830,793
  6. Step 6: Final answer
    x = 22,468,161.46

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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.