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Finding the Third Proportional to 1,627,289,115 and 3,531,990,414

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Solution

The third proportional to 1,627,289,115 and 3,531,990,414 is: 7,666,097,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627,289,115 : 3,531,990,414 = 3,531,990,414 : x
  2. Step 2: Convert to fraction form
    1,627,289,115/3,531,990,414 = 3,531,990,414/x
  3. Step 3: Cross multiply
    1,627,289,115x = 3,531,990,414 × 3,531,990,414
  4. Step 4: Simplify right side
    1,627,289,115x = 12,474,956,284,587,890,688
  5. Step 5: Solve for x
    x = 12,474,956,284,587,890,688/1,627,289,115
  6. Step 6: Final answer
    x = 7,666,097,050.36

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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.