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Finding the Third Proportional to 226,572,012 and 349,866,823

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Solution

The third proportional to 226,572,012 and 349,866,823 is: 540,255,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,012 : 349,866,823 = 349,866,823 : x
  2. Step 2: Convert to fraction form
    226,572,012/349,866,823 = 349,866,823/x
  3. Step 3: Cross multiply
    226,572,012x = 349,866,823 × 349,866,823
  4. Step 4: Simplify right side
    226,572,012x = 122,406,793,836,113,328
  5. Step 5: Solve for x
    x = 122,406,793,836,113,328/226,572,012
  6. Step 6: Final answer
    x = 540,255,580.36

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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.