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Finding the Third Proportional to 354,638,608,306 and 529,633,996,846

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Solution

The third proportional to 354,638,608,306 and 529,633,996,846 is: 790,980,350,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,306 : 529,633,996,846 = 529,633,996,846 : x
  2. Step 2: Convert to fraction form
    354,638,608,306/529,633,996,846 = 529,633,996,846/x
  3. Step 3: Cross multiply
    354,638,608,306x = 529,633,996,846 × 529,633,996,846
  4. Step 4: Simplify right side
    354,638,608,306x = 280,512,170,615,068,730,327,040
  5. Step 5: Solve for x
    x = 280,512,170,615,068,730,327,040/354,638,608,306
  6. Step 6: Final answer
    x = 790,980,350,264.15

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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.