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Finding the Third Proportional to 72,946,342 and 157,997,756

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Solution

The third proportional to 72,946,342 and 157,997,756 is: 342,214,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946,342 : 157,997,756 = 157,997,756 : x
  2. Step 2: Convert to fraction form
    72,946,342/157,997,756 = 157,997,756/x
  3. Step 3: Cross multiply
    72,946,342x = 157,997,756 × 157,997,756
  4. Step 4: Simplify right side
    72,946,342x = 24,963,290,901,035,536
  5. Step 5: Solve for x
    x = 24,963,290,901,035,536/72,946,342
  6. Step 6: Final answer
    x = 342,214,430.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.