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Finding the Third Proportional to 6,100,288,994.81 and 9,426,493,270.13

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Solution

The third proportional to 6,100,288,994.81 and 9,426,493,270.13 is: 14,566,322,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100,288,994.81 : 9,426,493,270.13 = 9,426,493,270.13 : x
  2. Step 2: Convert to fraction form
    6,100,288,994.81/9,426,493,270.13 = 9,426,493,270.13/x
  3. Step 3: Cross multiply
    6,100,288,994.81x = 9,426,493,270.13 × 9,426,493,270.13
  4. Step 4: Simplify right side
    6,100,288,994.81x = 88,858,775,371,711,922,176
  5. Step 5: Solve for x
    x = 88,858,775,371,711,922,176/6,100,288,994.81
  6. Step 6: Final answer
    x = 14,566,322,259.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.