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Finding the Third Proportional to 106,706,586 and 247,010,367

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Solution

The third proportional to 106,706,586 and 247,010,367 is: 571,793,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,706,586 : 247,010,367 = 247,010,367 : x
  2. Step 2: Convert to fraction form
    106,706,586/247,010,367 = 247,010,367/x
  3. Step 3: Cross multiply
    106,706,586x = 247,010,367 × 247,010,367
  4. Step 4: Simplify right side
    106,706,586x = 61,014,121,405,474,688
  5. Step 5: Solve for x
    x = 61,014,121,405,474,688/106,706,586
  6. Step 6: Final answer
    x = 571,793,398.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.