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Finding the Third Proportional to 9,431,757.75 and 19,210,368

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Solution

The third proportional to 9,431,757.75 and 19,210,368 is: 39,127,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431,757.75 : 19,210,368 = 19,210,368 : x
  2. Step 2: Convert to fraction form
    9,431,757.75/19,210,368 = 19,210,368/x
  3. Step 3: Cross multiply
    9,431,757.75x = 19,210,368 × 19,210,368
  4. Step 4: Simplify right side
    9,431,757.75x = 369,038,238,695,424
  5. Step 5: Solve for x
    x = 369,038,238,695,424/9,431,757.75
  6. Step 6: Final answer
    x = 39,127,196.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.