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Finding the Third Proportional to 1,745,611,685 and 2,615,864,052

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Solution

The third proportional to 1,745,611,685 and 2,615,864,052 is: 3,919,969,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,611,685 : 2,615,864,052 = 2,615,864,052 : x
  2. Step 2: Convert to fraction form
    1,745,611,685/2,615,864,052 = 2,615,864,052/x
  3. Step 3: Cross multiply
    1,745,611,685x = 2,615,864,052 × 2,615,864,052
  4. Step 4: Simplify right side
    1,745,611,685x = 6,842,744,738,545,858,560
  5. Step 5: Solve for x
    x = 6,842,744,738,545,858,560/1,745,611,685
  6. Step 6: Final answer
    x = 3,919,969,599.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.