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Finding the Third Proportional to 990,090,268 and 2,098,202,719

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Solution

The third proportional to 990,090,268 and 2,098,202,719 is: 4,446,518,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,090,268 : 2,098,202,719 = 2,098,202,719 : x
  2. Step 2: Convert to fraction form
    990,090,268/2,098,202,719 = 2,098,202,719/x
  3. Step 3: Cross multiply
    990,090,268x = 2,098,202,719 × 2,098,202,719
  4. Step 4: Simplify right side
    990,090,268x = 4,402,454,650,018,993,152
  5. Step 5: Solve for x
    x = 4,402,454,650,018,993,152/990,090,268
  6. Step 6: Final answer
    x = 4,446,518,456.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.