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Finding the Third Proportional to 3,581,511,886 and 7,707,219,356

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Solution

The third proportional to 3,581,511,886 and 7,707,219,356 is: 16,585,518,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581,511,886 : 7,707,219,356 = 7,707,219,356 : x
  2. Step 2: Convert to fraction form
    3,581,511,886/7,707,219,356 = 7,707,219,356/x
  3. Step 3: Cross multiply
    3,581,511,886x = 7,707,219,356 × 7,707,219,356
  4. Step 4: Simplify right side
    3,581,511,886x = 59,401,230,201,501,057,024
  5. Step 5: Solve for x
    x = 59,401,230,201,501,057,024/3,581,511,886
  6. Step 6: Final answer
    x = 16,585,518,097.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.