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Finding the Third Proportional to 243,529,434,144 and 372,572,766,288

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Solution

The third proportional to 243,529,434,144 and 372,572,766,288 is: 569,994,615,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,529,434,144 : 372,572,766,288 = 372,572,766,288 : x
  2. Step 2: Convert to fraction form
    243,529,434,144/372,572,766,288 = 372,572,766,288/x
  3. Step 3: Cross multiply
    243,529,434,144x = 372,572,766,288 × 372,572,766,288
  4. Step 4: Simplify right side
    243,529,434,144x = 138,810,466,179,492,672,962,560
  5. Step 5: Solve for x
    x = 138,810,466,179,492,672,962,560/243,529,434,144
  6. Step 6: Final answer
    x = 569,994,615,506.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.