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Finding the Third Proportional to 72,673,116 and 159,470,972

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Solution

The third proportional to 72,673,116 and 159,470,972 is: 349,936,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,673,116 : 159,470,972 = 159,470,972 : x
  2. Step 2: Convert to fraction form
    72,673,116/159,470,972 = 159,470,972/x
  3. Step 3: Cross multiply
    72,673,116x = 159,470,972 × 159,470,972
  4. Step 4: Simplify right side
    72,673,116x = 25,430,990,910,624,784
  5. Step 5: Solve for x
    x = 25,430,990,910,624,784/72,673,116
  6. Step 6: Final answer
    x = 349,936,707.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.