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Finding the Third Proportional to 2,019,258,747 and 3,101,828,671

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Solution

The third proportional to 2,019,258,747 and 3,101,828,671 is: 4,764,788,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,258,747 : 3,101,828,671 = 3,101,828,671 : x
  2. Step 2: Convert to fraction form
    2,019,258,747/3,101,828,671 = 3,101,828,671/x
  3. Step 3: Cross multiply
    2,019,258,747x = 3,101,828,671 × 3,101,828,671
  4. Step 4: Simplify right side
    2,019,258,747x = 9,621,341,104,237,625,344
  5. Step 5: Solve for x
    x = 9,621,341,104,237,625,344/2,019,258,747
  6. Step 6: Final answer
    x = 4,764,788,622.82

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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.