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Finding the Third Proportional to 349,898,319.75 and 751,722,495.75

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Solution

The third proportional to 349,898,319.75 and 751,722,495.75 is: 1,615,002,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,898,319.75 : 751,722,495.75 = 751,722,495.75 : x
  2. Step 2: Convert to fraction form
    349,898,319.75/751,722,495.75 = 751,722,495.75/x
  3. Step 3: Cross multiply
    349,898,319.75x = 751,722,495.75 × 751,722,495.75
  4. Step 4: Simplify right side
    349,898,319.75x = 565,086,710,616,608,768
  5. Step 5: Solve for x
    x = 565,086,710,616,608,768/349,898,319.75
  6. Step 6: Final answer
    x = 1,615,002,641.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.