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Finding the Third Proportional to 731,663,815,622 and 1,584,907,514,738

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Solution

The third proportional to 731,663,815,622 and 1,584,907,514,738 is: 3,433,177,610,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,663,815,622 : 1,584,907,514,738 = 1,584,907,514,738 : x
  2. Step 2: Convert to fraction form
    731,663,815,622/1,584,907,514,738 = 1,584,907,514,738/x
  3. Step 3: Cross multiply
    731,663,815,622x = 1,584,907,514,738 × 1,584,907,514,738
  4. Step 4: Simplify right side
    731,663,815,622x = 2,511,931,830,272,983,832,723,456
  5. Step 5: Solve for x
    x = 2,511,931,830,272,983,832,723,456/731,663,815,622
  6. Step 6: Final answer
    x = 3,433,177,610,590.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.