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Finding the Third Proportional to 6,580,361.75 and 14,201,146

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Solution

The third proportional to 6,580,361.75 and 14,201,146 is: 30,647,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,361.75 : 14,201,146 = 14,201,146 : x
  2. Step 2: Convert to fraction form
    6,580,361.75/14,201,146 = 14,201,146/x
  3. Step 3: Cross multiply
    6,580,361.75x = 14,201,146 × 14,201,146
  4. Step 4: Simplify right side
    6,580,361.75x = 201,672,547,713,316
  5. Step 5: Solve for x
    x = 201,672,547,713,316/6,580,361.75
  6. Step 6: Final answer
    x = 30,647,638.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.