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Finding the Third Proportional to 288,234,946,319 and 600,326,923,960

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Solution

The third proportional to 288,234,946,319 and 600,326,923,960 is: 1,250,342,542,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,234,946,319 : 600,326,923,960 = 600,326,923,960 : x
  2. Step 2: Convert to fraction form
    288,234,946,319/600,326,923,960 = 600,326,923,960/x
  3. Step 3: Cross multiply
    288,234,946,319x = 600,326,923,960 × 600,326,923,960
  4. Step 4: Simplify right side
    288,234,946,319x = 360,392,415,631,275,636,817,920
  5. Step 5: Solve for x
    x = 360,392,415,631,275,636,817,920/288,234,946,319
  6. Step 6: Final answer
    x = 1,250,342,542,546.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.