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Finding the Third Proportional to 6,322,697,243,570 and 8,530,803,116,367

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Solution

The third proportional to 6,322,697,243,570 and 8,530,803,116,367 is: 11,510,056,389,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,697,243,570 : 8,530,803,116,367 = 8,530,803,116,367 : x
  2. Step 2: Convert to fraction form
    6,322,697,243,570/8,530,803,116,367 = 8,530,803,116,367/x
  3. Step 3: Cross multiply
    6,322,697,243,570x = 8,530,803,116,367 × 8,530,803,116,367
  4. Step 4: Simplify right side
    6,322,697,243,570x = 72,774,601,810,216,922,866,778,112
  5. Step 5: Solve for x
    x = 72,774,601,810,216,922,866,778,112/6,322,697,243,570
  6. Step 6: Final answer
    x = 11,510,056,389,972.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.