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Finding the Third Proportional to 3,161,968,288 and 4,911,822,252

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Solution

The third proportional to 3,161,968,288 and 4,911,822,252 is: 7,630,056,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161,968,288 : 4,911,822,252 = 4,911,822,252 : x
  2. Step 2: Convert to fraction form
    3,161,968,288/4,911,822,252 = 4,911,822,252/x
  3. Step 3: Cross multiply
    3,161,968,288x = 4,911,822,252 × 4,911,822,252
  4. Step 4: Simplify right side
    3,161,968,288x = 24,125,997,835,242,352,640
  5. Step 5: Solve for x
    x = 24,125,997,835,242,352,640/3,161,968,288
  6. Step 6: Final answer
    x = 7,630,056,862.62

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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.