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Finding the Third Proportional to 989,952,206 and 2,061,211,564

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Solution

The third proportional to 989,952,206 and 2,061,211,564 is: 4,291,715,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,952,206 : 2,061,211,564 = 2,061,211,564 : x
  2. Step 2: Convert to fraction form
    989,952,206/2,061,211,564 = 2,061,211,564/x
  3. Step 3: Cross multiply
    989,952,206x = 2,061,211,564 × 2,061,211,564
  4. Step 4: Simplify right side
    989,952,206x = 4,248,593,111,567,326,208
  5. Step 5: Solve for x
    x = 4,248,593,111,567,326,208/989,952,206
  6. Step 6: Final answer
    x = 4,291,715,383.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.