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Finding the Third Proportional to 547,222,936,650 and 1,176,801,043,572

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Solution

The third proportional to 547,222,936,650 and 1,176,801,043,572 is: 2,530,706,597,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,222,936,650 : 1,176,801,043,572 = 1,176,801,043,572 : x
  2. Step 2: Convert to fraction form
    547,222,936,650/1,176,801,043,572 = 1,176,801,043,572/x
  3. Step 3: Cross multiply
    547,222,936,650x = 1,176,801,043,572 × 1,176,801,043,572
  4. Step 4: Simplify right side
    547,222,936,650x = 1,384,860,696,152,148,132,495,360
  5. Step 5: Solve for x
    x = 1,384,860,696,152,148,132,495,360/547,222,936,650
  6. Step 6: Final answer
    x = 2,530,706,597,625.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.