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Finding the Third Proportional to 3,130,584,208 and 6,823,699,856

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Solution

The third proportional to 3,130,584,208 and 6,823,699,856 is: 14,873,543,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,584,208 : 6,823,699,856 = 6,823,699,856 : x
  2. Step 2: Convert to fraction form
    3,130,584,208/6,823,699,856 = 6,823,699,856/x
  3. Step 3: Cross multiply
    3,130,584,208x = 6,823,699,856 × 6,823,699,856
  4. Step 4: Simplify right side
    3,130,584,208x = 46,562,879,724,774,424,576
  5. Step 5: Solve for x
    x = 46,562,879,724,774,424,576/3,130,584,208
  6. Step 6: Final answer
    x = 14,873,543,284.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.