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Finding the Third Proportional to 174,349,584 and 366,768,648

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Solution

The third proportional to 174,349,584 and 366,768,648 is: 771,548,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,349,584 : 366,768,648 = 366,768,648 : x
  2. Step 2: Convert to fraction form
    174,349,584/366,768,648 = 366,768,648/x
  3. Step 3: Cross multiply
    174,349,584x = 366,768,648 × 366,768,648
  4. Step 4: Simplify right side
    174,349,584x = 134,519,241,155,747,904
  5. Step 5: Solve for x
    x = 134,519,241,155,747,904/174,349,584
  6. Step 6: Final answer
    x = 771,548,965.42

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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.