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Finding the Third Proportional to 34,157,457 and 74,379,753

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Solution

The third proportional to 34,157,457 and 74,379,753 is: 161,966,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157,457 : 74,379,753 = 74,379,753 : x
  2. Step 2: Convert to fraction form
    34,157,457/74,379,753 = 74,379,753/x
  3. Step 3: Cross multiply
    34,157,457x = 74,379,753 × 74,379,753
  4. Step 4: Simplify right side
    34,157,457x = 5,532,347,656,341,009
  5. Step 5: Solve for x
    x = 5,532,347,656,341,009/34,157,457
  6. Step 6: Final answer
    x = 161,966,028.57

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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.