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Finding the Third Proportional to 2,129,105,219 and 4,659,577,975

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Solution

The third proportional to 2,129,105,219 and 4,659,577,975 is: 10,197,554,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,105,219 : 4,659,577,975 = 4,659,577,975 : x
  2. Step 2: Convert to fraction form
    2,129,105,219/4,659,577,975 = 4,659,577,975/x
  3. Step 3: Cross multiply
    2,129,105,219x = 4,659,577,975 × 4,659,577,975
  4. Step 4: Simplify right side
    2,129,105,219x = 21,711,666,905,105,100,800
  5. Step 5: Solve for x
    x = 21,711,666,905,105,100,800/2,129,105,219
  6. Step 6: Final answer
    x = 10,197,554,686.99

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