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Finding the Third Proportional to 4,775,762 and 10,321,348

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Solution

The third proportional to 4,775,762 and 10,321,348 is: 22,306,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,762 : 10,321,348 = 10,321,348 : x
  2. Step 2: Convert to fraction form
    4,775,762/10,321,348 = 10,321,348/x
  3. Step 3: Cross multiply
    4,775,762x = 10,321,348 × 10,321,348
  4. Step 4: Simplify right side
    4,775,762x = 106,530,224,537,104
  5. Step 5: Solve for x
    x = 106,530,224,537,104/4,775,762
  6. Step 6: Final answer
    x = 22,306,434.98

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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.