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Finding the Third Proportional to 30,347,824 and 45,522,706

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Solution

The third proportional to 30,347,824 and 45,522,706 is: 68,285,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347,824 : 45,522,706 = 45,522,706 : x
  2. Step 2: Convert to fraction form
    30,347,824/45,522,706 = 45,522,706/x
  3. Step 3: Cross multiply
    30,347,824x = 45,522,706 × 45,522,706
  4. Step 4: Simplify right side
    30,347,824x = 2,072,316,761,562,436
  5. Step 5: Solve for x
    x = 2,072,316,761,562,436/30,347,824
  6. Step 6: Final answer
    x = 68,285,514.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.