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Finding the Third Proportional to 274,612,090.50 and 414,471,931.50

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Solution

The third proportional to 274,612,090.50 and 414,471,931.50 is: 625,562,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,612,090.50 : 414,471,931.50 = 414,471,931.50 : x
  2. Step 2: Convert to fraction form
    274,612,090.50/414,471,931.50 = 414,471,931.50/x
  3. Step 3: Cross multiply
    274,612,090.50x = 414,471,931.50 × 414,471,931.50
  4. Step 4: Simplify right side
    274,612,090.50x = 171,786,982,001,340,704
  5. Step 5: Solve for x
    x = 171,786,982,001,340,704/274,612,090.50
  6. Step 6: Final answer
    x = 625,562,340.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.