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Finding the Third Proportional to 1,724,943,632 and 3,752,113,544

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Solution

The third proportional to 1,724,943,632 and 3,752,113,544 is: 8,161,632,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,943,632 : 3,752,113,544 = 3,752,113,544 : x
  2. Step 2: Convert to fraction form
    1,724,943,632/3,752,113,544 = 3,752,113,544/x
  3. Step 3: Cross multiply
    1,724,943,632x = 3,752,113,544 × 3,752,113,544
  4. Step 4: Simplify right side
    1,724,943,632x = 14,078,356,047,068,239,872
  5. Step 5: Solve for x
    x = 14,078,356,047,068,239,872/1,724,943,632
  6. Step 6: Final answer
    x = 8,161,632,522.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.