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Finding the Third Proportional to 846,589,449 and 1,822,916,922

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Solution

The third proportional to 846,589,449 and 1,822,916,922 is: 3,925,191,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,589,449 : 1,822,916,922 = 1,822,916,922 : x
  2. Step 2: Convert to fraction form
    846,589,449/1,822,916,922 = 1,822,916,922/x
  3. Step 3: Cross multiply
    846,589,449x = 1,822,916,922 × 1,822,916,922
  4. Step 4: Simplify right side
    846,589,449x = 3,323,026,104,513,954,304
  5. Step 5: Solve for x
    x = 3,323,026,104,513,954,304/846,589,449
  6. Step 6: Final answer
    x = 3,925,191,966.94

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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.