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Finding the Third Proportional to 76,720,007 and 164,322,526

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Solution

The third proportional to 76,720,007 and 164,322,526 is: 351,953,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,720,007 : 164,322,526 = 164,322,526 : x
  2. Step 2: Convert to fraction form
    76,720,007/164,322,526 = 164,322,526/x
  3. Step 3: Cross multiply
    76,720,007x = 164,322,526 × 164,322,526
  4. Step 4: Simplify right side
    76,720,007x = 27,001,892,551,020,676
  5. Step 5: Solve for x
    x = 27,001,892,551,020,676/76,720,007
  6. Step 6: Final answer
    x = 351,953,728.98

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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.