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Finding the Third Proportional to 10,502,022 and 21,732,984

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Solution

The third proportional to 10,502,022 and 21,732,984 is: 44,974,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502,022 : 21,732,984 = 21,732,984 : x
  2. Step 2: Convert to fraction form
    10,502,022/21,732,984 = 21,732,984/x
  3. Step 3: Cross multiply
    10,502,022x = 21,732,984 × 21,732,984
  4. Step 4: Simplify right side
    10,502,022x = 472,322,593,544,256
  5. Step 5: Solve for x
    x = 472,322,593,544,256/10,502,022
  6. Step 6: Final answer
    x = 44,974,443.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.