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Finding the Third Proportional to 6,680,506.50 and 14,637,807

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Solution

The third proportional to 6,680,506.50 and 14,637,807 is: 32,073,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,506.50 : 14,637,807 = 14,637,807 : x
  2. Step 2: Convert to fraction form
    6,680,506.50/14,637,807 = 14,637,807/x
  3. Step 3: Cross multiply
    6,680,506.50x = 14,637,807 × 14,637,807
  4. Step 4: Simplify right side
    6,680,506.50x = 214,265,393,769,249
  5. Step 5: Solve for x
    x = 214,265,393,769,249/6,680,506.50
  6. Step 6: Final answer
    x = 32,073,225.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.