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Finding the Third Proportional to 226,572,024 and 349,866,842

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Solution

The third proportional to 226,572,024 and 349,866,842 is: 540,255,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,024 : 349,866,842 = 349,866,842 : x
  2. Step 2: Convert to fraction form
    226,572,024/349,866,842 = 349,866,842/x
  3. Step 3: Cross multiply
    226,572,024x = 349,866,842 × 349,866,842
  4. Step 4: Simplify right side
    226,572,024x = 122,406,807,131,052,960
  5. Step 5: Solve for x
    x = 122,406,807,131,052,960/226,572,024
  6. Step 6: Final answer
    x = 540,255,610.42

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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.