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Finding the Third Proportional to 4,563,382 and 7,014,855

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Solution

The third proportional to 4,563,382 and 7,014,855 is: 10,783,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563,382 : 7,014,855 = 7,014,855 : x
  2. Step 2: Convert to fraction form
    4,563,382/7,014,855 = 7,014,855/x
  3. Step 3: Cross multiply
    4,563,382x = 7,014,855 × 7,014,855
  4. Step 4: Simplify right side
    4,563,382x = 49,208,190,671,025
  5. Step 5: Solve for x
    x = 49,208,190,671,025/4,563,382
  6. Step 6: Final answer
    x = 10,783,272.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.