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Finding the Third Proportional to 70,478,322 and 151,753,347

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Solution

The third proportional to 70,478,322 and 151,753,347 is: 326,754,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478,322 : 151,753,347 = 151,753,347 : x
  2. Step 2: Convert to fraction form
    70,478,322/151,753,347 = 151,753,347/x
  3. Step 3: Cross multiply
    70,478,322x = 151,753,347 × 151,753,347
  4. Step 4: Simplify right side
    70,478,322x = 23,029,078,325,702,408
  5. Step 5: Solve for x
    x = 23,029,078,325,702,408/70,478,322
  6. Step 6: Final answer
    x = 326,754,066.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.