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Finding the Third Proportional to 1,572,750,783 and 3,407,206,734

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Solution

The third proportional to 1,572,750,783 and 3,407,206,734 is: 7,381,371,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,750,783 : 3,407,206,734 = 3,407,206,734 : x
  2. Step 2: Convert to fraction form
    1,572,750,783/3,407,206,734 = 3,407,206,734/x
  3. Step 3: Cross multiply
    1,572,750,783x = 3,407,206,734 × 3,407,206,734
  4. Step 4: Simplify right side
    1,572,750,783x = 11,609,057,728,214,945,792
  5. Step 5: Solve for x
    x = 11,609,057,728,214,945,792/1,572,750,783
  6. Step 6: Final answer
    x = 7,381,371,450.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.