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Finding the Third Proportional to 923,205,998 and 1,949,428,444

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Solution

The third proportional to 923,205,998 and 1,949,428,444 is: 4,116,384,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,205,998 : 1,949,428,444 = 1,949,428,444 : x
  2. Step 2: Convert to fraction form
    923,205,998/1,949,428,444 = 1,949,428,444/x
  3. Step 3: Cross multiply
    923,205,998x = 1,949,428,444 × 1,949,428,444
  4. Step 4: Simplify right side
    923,205,998x = 3,800,271,258,276,261,376
  5. Step 5: Solve for x
    x = 3,800,271,258,276,261,376/923,205,998
  6. Step 6: Final answer
    x = 4,116,384,930.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.