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Finding the Third Proportional to 6,540,629,607 and 14,347,539,180

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Solution

The third proportional to 6,540,629,607 and 14,347,539,180 is: 31,472,792,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,629,607 : 14,347,539,180 = 14,347,539,180 : x
  2. Step 2: Convert to fraction form
    6,540,629,607/14,347,539,180 = 14,347,539,180/x
  3. Step 3: Cross multiply
    6,540,629,607x = 14,347,539,180 × 14,347,539,180
  4. Step 4: Simplify right side
    6,540,629,607x = 205,851,880,521,635,069,952
  5. Step 5: Solve for x
    x = 205,851,880,521,635,069,952/6,540,629,607
  6. Step 6: Final answer
    x = 31,472,792,818.19

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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.