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Finding the Third Proportional to 6,540,629,520 and 14,347,539,000

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Solution

The third proportional to 6,540,629,520 and 14,347,539,000 is: 31,472,792,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,629,520 : 14,347,539,000 = 14,347,539,000 : x
  2. Step 2: Convert to fraction form
    6,540,629,520/14,347,539,000 = 14,347,539,000/x
  3. Step 3: Cross multiply
    6,540,629,520x = 14,347,539,000 × 14,347,539,000
  4. Step 4: Simplify right side
    6,540,629,520x = 205,851,875,356,521,005,056
  5. Step 5: Solve for x
    x = 205,851,875,356,521,005,056/6,540,629,520
  6. Step 6: Final answer
    x = 31,472,792,447.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.