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Finding the Third Proportional to 5,758,576.50 and 12,355,017

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Solution

The third proportional to 5,758,576.50 and 12,355,017 is: 26,507,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,576.50 : 12,355,017 = 12,355,017 : x
  2. Step 2: Convert to fraction form
    5,758,576.50/12,355,017 = 12,355,017/x
  3. Step 3: Cross multiply
    5,758,576.50x = 12,355,017 × 12,355,017
  4. Step 4: Simplify right side
    5,758,576.50x = 152,646,445,070,289
  5. Step 5: Solve for x
    x = 152,646,445,070,289/5,758,576.50
  6. Step 6: Final answer
    x = 26,507,669.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.