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Finding the Third Proportional to 219,654,834 and 481,510,020

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Solution

The third proportional to 219,654,834 and 481,510,020 is: 1,055,528,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,654,834 : 481,510,020 = 481,510,020 : x
  2. Step 2: Convert to fraction form
    219,654,834/481,510,020 = 481,510,020/x
  3. Step 3: Cross multiply
    219,654,834x = 481,510,020 × 481,510,020
  4. Step 4: Simplify right side
    219,654,834x = 231,851,899,360,400,384
  5. Step 5: Solve for x
    x = 231,851,899,360,400,384/219,654,834
  6. Step 6: Final answer
    x = 1,055,528,326.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.