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Finding the Third Proportional to 270,354,977 and 555,042,154

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Solution

The third proportional to 270,354,977 and 555,042,154 is: 1,139,508,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,977 : 555,042,154 = 555,042,154 : x
  2. Step 2: Convert to fraction form
    270,354,977/555,042,154 = 555,042,154/x
  3. Step 3: Cross multiply
    270,354,977x = 555,042,154 × 555,042,154
  4. Step 4: Simplify right side
    270,354,977x = 308,071,792,716,959,744
  5. Step 5: Solve for x
    x = 308,071,792,716,959,744/270,354,977
  6. Step 6: Final answer
    x = 1,139,508,494.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.