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Finding the Third Proportional to 347,289,343,536 and 752,274,048,144

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Solution

The third proportional to 347,289,343,536 and 752,274,048,144 is: 1,629,523,779,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,289,343,536 : 752,274,048,144 = 752,274,048,144 : x
  2. Step 2: Convert to fraction form
    347,289,343,536/752,274,048,144 = 752,274,048,144/x
  3. Step 3: Cross multiply
    347,289,343,536x = 752,274,048,144 × 752,274,048,144
  4. Step 4: Simplify right side
    347,289,343,536x = 565,916,243,510,961,230,577,664
  5. Step 5: Solve for x
    x = 565,916,243,510,961,230,577,664/347,289,343,536
  6. Step 6: Final answer
    x = 1,629,523,779,074.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.