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Finding the Third Proportional to 1,572,194,025 and 3,365,243,946

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Solution

The third proportional to 1,572,194,025 and 3,365,243,946 is: 7,203,224,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,194,025 : 3,365,243,946 = 3,365,243,946 : x
  2. Step 2: Convert to fraction form
    1,572,194,025/3,365,243,946 = 3,365,243,946/x
  3. Step 3: Cross multiply
    1,572,194,025x = 3,365,243,946 × 3,365,243,946
  4. Step 4: Simplify right side
    1,572,194,025x = 11,324,866,816,089,651,200
  5. Step 5: Solve for x
    x = 11,324,866,816,089,651,200/1,572,194,025
  6. Step 6: Final answer
    x = 7,203,224,688.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.