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Finding the Third Proportional to 1,583,776,930 and 2,396,049,835

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Solution

The third proportional to 1,583,776,930 and 2,396,049,835 is: 3,624,913,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,776,930 : 2,396,049,835 = 2,396,049,835 : x
  2. Step 2: Convert to fraction form
    1,583,776,930/2,396,049,835 = 2,396,049,835/x
  3. Step 3: Cross multiply
    1,583,776,930x = 2,396,049,835 × 2,396,049,835
  4. Step 4: Simplify right side
    1,583,776,930x = 5,741,054,811,803,527,168
  5. Step 5: Solve for x
    x = 5,741,054,811,803,527,168/1,583,776,930
  6. Step 6: Final answer
    x = 3,624,913,776.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.