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Finding the Third Proportional to 3,161,968,279 and 4,911,822,240

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Solution

The third proportional to 3,161,968,279 and 4,911,822,240 is: 7,630,056,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161,968,279 : 4,911,822,240 = 4,911,822,240 : x
  2. Step 2: Convert to fraction form
    3,161,968,279/4,911,822,240 = 4,911,822,240/x
  3. Step 3: Cross multiply
    3,161,968,279x = 4,911,822,240 × 4,911,822,240
  4. Step 4: Simplify right side
    3,161,968,279x = 24,125,997,717,358,616,576
  5. Step 5: Solve for x
    x = 24,125,997,717,358,616,576/3,161,968,279
  6. Step 6: Final answer
    x = 7,630,056,847.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.