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Finding the Third Proportional to 21,676,626 and 31,916,142

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Solution

The third proportional to 21,676,626 and 31,916,142 is: 46,992,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676,626 : 31,916,142 = 31,916,142 : x
  2. Step 2: Convert to fraction form
    21,676,626/31,916,142 = 31,916,142/x
  3. Step 3: Cross multiply
    21,676,626x = 31,916,142 × 31,916,142
  4. Step 4: Simplify right side
    21,676,626x = 1,018,640,120,164,164
  5. Step 5: Solve for x
    x = 1,018,640,120,164,164/21,676,626
  6. Step 6: Final answer
    x = 46,992,558.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.