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Finding the Third Proportional to 375,083,993,123 and 804,617,556,552

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Solution

The third proportional to 375,083,993,123 and 804,617,556,552 is: 1,726,038,498,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,083,993,123 : 804,617,556,552 = 804,617,556,552 : x
  2. Step 2: Convert to fraction form
    375,083,993,123/804,617,556,552 = 804,617,556,552/x
  3. Step 3: Cross multiply
    375,083,993,123x = 804,617,556,552 × 804,617,556,552
  4. Step 4: Simplify right side
    375,083,993,123x = 647,409,412,311,710,932,402,176
  5. Step 5: Solve for x
    x = 647,409,412,311,710,932,402,176/375,083,993,123
  6. Step 6: Final answer
    x = 1,726,038,498,527.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.