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Finding the Third Proportional to 21,720,414 and 31,870,554

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Solution

The third proportional to 21,720,414 and 31,870,554 is: 46,763,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720,414 : 31,870,554 = 31,870,554 : x
  2. Step 2: Convert to fraction form
    21,720,414/31,870,554 = 31,870,554/x
  3. Step 3: Cross multiply
    21,720,414x = 31,870,554 × 31,870,554
  4. Step 4: Simplify right side
    21,720,414x = 1,015,732,212,266,916
  5. Step 5: Solve for x
    x = 1,015,732,212,266,916/21,720,414
  6. Step 6: Final answer
    x = 46,763,943.46

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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.