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Finding the Third Proportional to 1,476,343,500 and 2,076,378,354

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Solution

The third proportional to 1,476,343,500 and 2,076,378,354 is: 2,920,287,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,343,500 : 2,076,378,354 = 2,076,378,354 : x
  2. Step 2: Convert to fraction form
    1,476,343,500/2,076,378,354 = 2,076,378,354/x
  3. Step 3: Cross multiply
    1,476,343,500x = 2,076,378,354 × 2,076,378,354
  4. Step 4: Simplify right side
    1,476,343,500x = 4,311,347,068,959,749,120
  5. Step 5: Solve for x
    x = 4,311,347,068,959,749,120/1,476,343,500
  6. Step 6: Final answer
    x = 2,920,287,229.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.