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Finding the Third Proportional to 307,121,108 and 470,946,654

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Solution

The third proportional to 307,121,108 and 470,946,654 is: 722,160,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,121,108 : 470,946,654 = 470,946,654 : x
  2. Step 2: Convert to fraction form
    307,121,108/470,946,654 = 470,946,654/x
  3. Step 3: Cross multiply
    307,121,108x = 470,946,654 × 470,946,654
  4. Step 4: Simplify right side
    307,121,108x = 221,790,750,913,795,712
  5. Step 5: Solve for x
    x = 221,790,750,913,795,712/307,121,108
  6. Step 6: Final answer
    x = 722,160,558.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.