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Finding the Third Proportional to 3,161,968,275.09 and 4,911,822,234

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Solution

The third proportional to 3,161,968,275.09 and 4,911,822,234 is: 7,630,056,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161,968,275.09 : 4,911,822,234 = 4,911,822,234 : x
  2. Step 2: Convert to fraction form
    3,161,968,275.09/4,911,822,234 = 4,911,822,234/x
  3. Step 3: Cross multiply
    3,161,968,275.09x = 4,911,822,234 × 4,911,822,234
  4. Step 4: Simplify right side
    3,161,968,275.09x = 24,125,997,658,416,750,592
  5. Step 5: Solve for x
    x = 24,125,997,658,416,750,592/3,161,968,275.09
  6. Step 6: Final answer
    x = 7,630,056,837.84

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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.