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Finding the Third Proportional to 6,540,629,940 and 14,347,539,972

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Solution

The third proportional to 6,540,629,940 and 14,347,539,972 is: 31,472,794,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,629,940 : 14,347,539,972 = 14,347,539,972 : x
  2. Step 2: Convert to fraction form
    6,540,629,940/14,347,539,972 = 14,347,539,972/x
  3. Step 3: Cross multiply
    6,540,629,940x = 14,347,539,972 × 14,347,539,972
  4. Step 4: Simplify right side
    6,540,629,940x = 205,851,903,248,137,748,480
  5. Step 5: Solve for x
    x = 205,851,903,248,137,748,480/6,540,629,940
  6. Step 6: Final answer
    x = 31,472,794,690.50

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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.