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Finding the Third Proportional to 63,165,533,334 and 140,453,978,364

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Solution

The third proportional to 63,165,533,334 and 140,453,978,364 is: 312,311,461,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,165,533,334 : 140,453,978,364 = 140,453,978,364 : x
  2. Step 2: Convert to fraction form
    63,165,533,334/140,453,978,364 = 140,453,978,364/x
  3. Step 3: Cross multiply
    63,165,533,334x = 140,453,978,364 × 140,453,978,364
  4. Step 4: Simplify right side
    63,165,533,334x = 19,727,320,038,274,978,807,808
  5. Step 5: Solve for x
    x = 19,727,320,038,274,978,807,808/63,165,533,334
  6. Step 6: Final answer
    x = 312,311,461,599.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.