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Finding the Third Proportional to 34,111,810 and 74,200,357

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Solution

The third proportional to 34,111,810 and 74,200,357 is: 161,401,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111,810 : 74,200,357 = 74,200,357 : x
  2. Step 2: Convert to fraction form
    34,111,810/74,200,357 = 74,200,357/x
  3. Step 3: Cross multiply
    34,111,810x = 74,200,357 × 74,200,357
  4. Step 4: Simplify right side
    34,111,810x = 5,505,692,978,927,449
  5. Step 5: Solve for x
    x = 5,505,692,978,927,449/34,111,810
  6. Step 6: Final answer
    x = 161,401,373.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.