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Finding the Third Proportional to 76,702,427 and 164,173,918

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Solution

The third proportional to 76,702,427 and 164,173,918 is: 351,397,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702,427 : 164,173,918 = 164,173,918 : x
  2. Step 2: Convert to fraction form
    76,702,427/164,173,918 = 164,173,918/x
  3. Step 3: Cross multiply
    76,702,427x = 164,173,918 × 164,173,918
  4. Step 4: Simplify right side
    76,702,427x = 26,953,075,351,470,724
  5. Step 5: Solve for x
    x = 26,953,075,351,470,724/76,702,427
  6. Step 6: Final answer
    x = 351,397,946.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.