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Finding the Third Proportional to 326,806,868 and 705,259,174

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Solution

The third proportional to 326,806,868 and 705,259,174 is: 1,521,970,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,806,868 : 705,259,174 = 705,259,174 : x
  2. Step 2: Convert to fraction form
    326,806,868/705,259,174 = 705,259,174/x
  3. Step 3: Cross multiply
    326,806,868x = 705,259,174 × 705,259,174
  4. Step 4: Simplify right side
    326,806,868x = 497,390,502,511,162,304
  5. Step 5: Solve for x
    x = 497,390,502,511,162,304/326,806,868
  6. Step 6: Final answer
    x = 1,521,970,776.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.