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Finding the Third Proportional to 174,487,470 and 367,025,626.50

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Solution

The third proportional to 174,487,470 and 367,025,626.50 is: 772,019,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,487,470 : 367,025,626.50 = 367,025,626.50 : x
  2. Step 2: Convert to fraction form
    174,487,470/367,025,626.50 = 367,025,626.50/x
  3. Step 3: Cross multiply
    174,487,470x = 367,025,626.50 × 367,025,626.50
  4. Step 4: Simplify right side
    174,487,470x = 134,707,810,507,717,504
  5. Step 5: Solve for x
    x = 134,707,810,507,717,504/174,487,470
  6. Step 6: Final answer
    x = 772,019,965.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.