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Finding the Third Proportional to 2,211,702,948 and 4,751,628,588

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Solution

The third proportional to 2,211,702,948 and 4,751,628,588 is: 10,208,411,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,702,948 : 4,751,628,588 = 4,751,628,588 : x
  2. Step 2: Convert to fraction form
    2,211,702,948/4,751,628,588 = 4,751,628,588/x
  3. Step 3: Cross multiply
    2,211,702,948x = 4,751,628,588 × 4,751,628,588
  4. Step 4: Simplify right side
    2,211,702,948x = 22,577,974,238,298,873,856
  5. Step 5: Solve for x
    x = 22,577,974,238,298,873,856/2,211,702,948
  6. Step 6: Final answer
    x = 10,208,411,694.13

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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.