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Finding the Third Proportional to 6,449,046 and 14,076,948

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Solution

The third proportional to 6,449,046 and 14,076,948 is: 30,727,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,046 : 14,076,948 = 14,076,948 : x
  2. Step 2: Convert to fraction form
    6,449,046/14,076,948 = 14,076,948/x
  3. Step 3: Cross multiply
    6,449,046x = 14,076,948 × 14,076,948
  4. Step 4: Simplify right side
    6,449,046x = 198,160,464,994,704
  5. Step 5: Solve for x
    x = 198,160,464,994,704/6,449,046
  6. Step 6: Final answer
    x = 30,727,097.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.