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Finding the Third Proportional to 347,289,343,542 and 752,274,048,156

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Solution

The third proportional to 347,289,343,542 and 752,274,048,156 is: 1,629,523,779,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,289,343,542 : 752,274,048,156 = 752,274,048,156 : x
  2. Step 2: Convert to fraction form
    347,289,343,542/752,274,048,156 = 752,274,048,156/x
  3. Step 3: Cross multiply
    347,289,343,542x = 752,274,048,156 × 752,274,048,156
  4. Step 4: Simplify right side
    347,289,343,542x = 565,916,243,529,015,796,695,040
  5. Step 5: Solve for x
    x = 565,916,243,529,015,796,695,040/347,289,343,542
  6. Step 6: Final answer
    x = 1,629,523,779,097.98

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