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Finding the Third Proportional to 226,572,034 and 349,866,860

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Solution

The third proportional to 226,572,034 and 349,866,860 is: 540,255,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,034 : 349,866,860 = 349,866,860 : x
  2. Step 2: Convert to fraction form
    226,572,034/349,866,860 = 349,866,860/x
  3. Step 3: Cross multiply
    226,572,034x = 349,866,860 × 349,866,860
  4. Step 4: Simplify right side
    226,572,034x = 122,406,819,726,259,600
  5. Step 5: Solve for x
    x = 122,406,819,726,259,600/226,572,034
  6. Step 6: Final answer
    x = 540,255,642.17

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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.