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Finding the Third Proportional to 1,378,101,010.50 and 3,024,047,556

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Solution

The third proportional to 1,378,101,010.50 and 3,024,047,556 is: 6,635,844,216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,101,010.50 : 3,024,047,556 = 3,024,047,556 : x
  2. Step 2: Convert to fraction form
    1,378,101,010.50/3,024,047,556 = 3,024,047,556/x
  3. Step 3: Cross multiply
    1,378,101,010.50x = 3,024,047,556 × 3,024,047,556
  4. Step 4: Simplify right side
    1,378,101,010.50x = 9,144,863,620,949,573,632
  5. Step 5: Solve for x
    x = 9,144,863,620,949,573,632/1,378,101,010.50
  6. Step 6: Final answer
    x = 6,635,844,216.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.