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Finding the Third Proportional to 1,663,622,676 and 3,604,655,412

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Solution

The third proportional to 1,663,622,676 and 3,604,655,412 is: 7,810,389,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,622,676 : 3,604,655,412 = 3,604,655,412 : x
  2. Step 2: Convert to fraction form
    1,663,622,676/3,604,655,412 = 3,604,655,412/x
  3. Step 3: Cross multiply
    1,663,622,676x = 3,604,655,412 × 3,604,655,412
  4. Step 4: Simplify right side
    1,663,622,676x = 12,993,540,639,260,889,088
  5. Step 5: Solve for x
    x = 12,993,540,639,260,889,088/1,663,622,676
  6. Step 6: Final answer
    x = 7,810,389,234.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.