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Finding the Third Proportional to 72,946,340 and 157,997,752

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Solution

The third proportional to 72,946,340 and 157,997,752 is: 342,214,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946,340 : 157,997,752 = 157,997,752 : x
  2. Step 2: Convert to fraction form
    72,946,340/157,997,752 = 157,997,752/x
  3. Step 3: Cross multiply
    72,946,340x = 157,997,752 × 157,997,752
  4. Step 4: Simplify right side
    72,946,340x = 24,963,289,637,053,504
  5. Step 5: Solve for x
    x = 24,963,289,637,053,504/72,946,340
  6. Step 6: Final answer
    x = 342,214,422.78

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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.