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Finding the Third Proportional to 3,589,793,397 and 5,514,362,199

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Solution

The third proportional to 3,589,793,397 and 5,514,362,199 is: 8,470,735,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,793,397 : 5,514,362,199 = 5,514,362,199 : x
  2. Step 2: Convert to fraction form
    3,589,793,397/5,514,362,199 = 5,514,362,199/x
  3. Step 3: Cross multiply
    3,589,793,397x = 5,514,362,199 × 5,514,362,199
  4. Step 4: Simplify right side
    3,589,793,397x = 30,408,190,461,760,114,688
  5. Step 5: Solve for x
    x = 30,408,190,461,760,114,688/3,589,793,397
  6. Step 6: Final answer
    x = 8,470,735,526.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.