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Finding the Third Proportional to 6,875,583.75 and 14,570,775

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Solution

The third proportional to 6,875,583.75 and 14,570,775 is: 30,878,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,583.75 : 14,570,775 = 14,570,775 : x
  2. Step 2: Convert to fraction form
    6,875,583.75/14,570,775 = 14,570,775/x
  3. Step 3: Cross multiply
    6,875,583.75x = 14,570,775 × 14,570,775
  4. Step 4: Simplify right side
    6,875,583.75x = 212,307,484,100,625
  5. Step 5: Solve for x
    x = 212,307,484,100,625/6,875,583.75
  6. Step 6: Final answer
    x = 30,878,466.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.