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Finding the Third Proportional to 2,019,258,827 and 3,101,828,791

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Solution

The third proportional to 2,019,258,827 and 3,101,828,791 is: 4,764,788,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,258,827 : 3,101,828,791 = 3,101,828,791 : x
  2. Step 2: Convert to fraction form
    2,019,258,827/3,101,828,791 = 3,101,828,791/x
  3. Step 3: Cross multiply
    2,019,258,827x = 3,101,828,791 × 3,101,828,791
  4. Step 4: Simplify right side
    2,019,258,827x = 9,621,341,848,676,521,984
  5. Step 5: Solve for x
    x = 9,621,341,848,676,521,984/2,019,258,827
  6. Step 6: Final answer
    x = 4,764,788,802.72

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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.