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Finding the Third Proportional to 354,638,608,340 and 529,633,996,896

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Solution

The third proportional to 354,638,608,340 and 529,633,996,896 is: 790,980,350,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,340 : 529,633,996,896 = 529,633,996,896 : x
  2. Step 2: Convert to fraction form
    354,638,608,340/529,633,996,896 = 529,633,996,896/x
  3. Step 3: Cross multiply
    354,638,608,340x = 529,633,996,896 × 529,633,996,896
  4. Step 4: Simplify right side
    354,638,608,340x = 280,512,170,668,032,153,092,096
  5. Step 5: Solve for x
    x = 280,512,170,668,032,153,092,096/354,638,608,340
  6. Step 6: Final answer
    x = 790,980,350,337.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.