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Finding the Third Proportional to 375,185,472 and 826,701,240

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Solution

The third proportional to 375,185,472 and 826,701,240 is: 1,821,592,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,185,472 : 826,701,240 = 826,701,240 : x
  2. Step 2: Convert to fraction form
    375,185,472/826,701,240 = 826,701,240/x
  3. Step 3: Cross multiply
    375,185,472x = 826,701,240 × 826,701,240
  4. Step 4: Simplify right side
    375,185,472x = 683,434,940,217,537,536
  5. Step 5: Solve for x
    x = 683,434,940,217,537,536/375,185,472
  6. Step 6: Final answer
    x = 1,821,592,228.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.