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Finding the Third Proportional to 9,808,344 and 21,382,263

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Solution

The third proportional to 9,808,344 and 21,382,263 is: 46,613,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808,344 : 21,382,263 = 21,382,263 : x
  2. Step 2: Convert to fraction form
    9,808,344/21,382,263 = 21,382,263/x
  3. Step 3: Cross multiply
    9,808,344x = 21,382,263 × 21,382,263
  4. Step 4: Simplify right side
    9,808,344x = 457,201,171,001,169
  5. Step 5: Solve for x
    x = 457,201,171,001,169/9,808,344
  6. Step 6: Final answer
    x = 46,613,492.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.