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Finding the Third Proportional to 504,658,274,173.50 and 1,085,857,294,444.50

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Solution

The third proportional to 504,658,274,173.50 and 1,085,857,294,444.50 is: 2,336,404,898,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,658,274,173.50 : 1,085,857,294,444.50 = 1,085,857,294,444.50 : x
  2. Step 2: Convert to fraction form
    504,658,274,173.50/1,085,857,294,444.50 = 1,085,857,294,444.50/x
  3. Step 3: Cross multiply
    504,658,274,173.50x = 1,085,857,294,444.50 × 1,085,857,294,444.50
  4. Step 4: Simplify right side
    504,658,274,173.50x = 1,179,086,063,898,329,532,596,224
  5. Step 5: Solve for x
    x = 1,179,086,063,898,329,532,596,224/504,658,274,173.50
  6. Step 6: Final answer
    x = 2,336,404,898,600.68

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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.