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Finding the Third Proportional to 9,036,203 and 13,766,078

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Solution

The third proportional to 9,036,203 and 13,766,078 is: 20,971,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036,203 : 13,766,078 = 13,766,078 : x
  2. Step 2: Convert to fraction form
    9,036,203/13,766,078 = 13,766,078/x
  3. Step 3: Cross multiply
    9,036,203x = 13,766,078 × 13,766,078
  4. Step 4: Simplify right side
    9,036,203x = 189,504,903,502,084
  5. Step 5: Solve for x
    x = 189,504,903,502,084/9,036,203
  6. Step 6: Final answer
    x = 20,971,740.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.