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Finding the Third Proportional to 1,811,251,584 and 2,706,049,053

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Solution

The third proportional to 1,811,251,584 and 2,706,049,053 is: 4,042,895,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811,251,584 : 2,706,049,053 = 2,706,049,053 : x
  2. Step 2: Convert to fraction form
    1,811,251,584/2,706,049,053 = 2,706,049,053/x
  3. Step 3: Cross multiply
    1,811,251,584x = 2,706,049,053 × 2,706,049,053
  4. Step 4: Simplify right side
    1,811,251,584x = 7,322,701,477,242,196,992
  5. Step 5: Solve for x
    x = 7,322,701,477,242,196,992/1,811,251,584
  6. Step 6: Final answer
    x = 4,042,895,830.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.