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Finding the Third Proportional to 2,019,258,829 and 3,101,828,794

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Solution

The third proportional to 2,019,258,829 and 3,101,828,794 is: 4,764,788,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,258,829 : 3,101,828,794 = 3,101,828,794 : x
  2. Step 2: Convert to fraction form
    2,019,258,829/3,101,828,794 = 3,101,828,794/x
  3. Step 3: Cross multiply
    2,019,258,829x = 3,101,828,794 × 3,101,828,794
  4. Step 4: Simplify right side
    2,019,258,829x = 9,621,341,867,287,494,656
  5. Step 5: Solve for x
    x = 9,621,341,867,287,494,656/2,019,258,829
  6. Step 6: Final answer
    x = 4,764,788,807.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.