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Finding the Third Proportional to 9,296,275 and 19,937,310

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Solution

The third proportional to 9,296,275 and 19,937,310 is: 42,758,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,275 : 19,937,310 = 19,937,310 : x
  2. Step 2: Convert to fraction form
    9,296,275/19,937,310 = 19,937,310/x
  3. Step 3: Cross multiply
    9,296,275x = 19,937,310 × 19,937,310
  4. Step 4: Simplify right side
    9,296,275x = 397,496,330,036,100
  5. Step 5: Solve for x
    x = 397,496,330,036,100/9,296,275
  6. Step 6: Final answer
    x = 42,758,667.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.