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Finding the Third Proportional to 8,673,111,183 and 11,702,063,284

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Solution

The third proportional to 8,673,111,183 and 11,702,063,284 is: 15,788,830,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673,111,183 : 11,702,063,284 = 11,702,063,284 : x
  2. Step 2: Convert to fraction form
    8,673,111,183/11,702,063,284 = 11,702,063,284/x
  3. Step 3: Cross multiply
    8,673,111,183x = 11,702,063,284 × 11,702,063,284
  4. Step 4: Simplify right side
    8,673,111,183x = 136,938,285,102,740,865,024
  5. Step 5: Solve for x
    x = 136,938,285,102,740,865,024/8,673,111,183
  6. Step 6: Final answer
    x = 15,788,830,814.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.