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Finding the Third Proportional to 3,076,372.41 and 6,706,298.81

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Solution

The third proportional to 3,076,372.41 and 6,706,298.81 is: 14,619,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076,372.41 : 6,706,298.81 = 6,706,298.81 : x
  2. Step 2: Convert to fraction form
    3,076,372.41/6,706,298.81 = 6,706,298.81/x
  3. Step 3: Cross multiply
    3,076,372.41x = 6,706,298.81 × 6,706,298.81
  4. Step 4: Simplify right side
    3,076,372.41x = 44,974,443,762,538.91
  5. Step 5: Solve for x
    x = 44,974,443,762,538.91/3,076,372.41
  6. Step 6: Final answer
    x = 14,619,310.61

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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.