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Finding the Third Proportional to 40,820,194,468 and 63,894,753,258

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Solution

The third proportional to 40,820,194,468 and 63,894,753,258 is: 100,012,739,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820,194,468 : 63,894,753,258 = 63,894,753,258 : x
  2. Step 2: Convert to fraction form
    40,820,194,468/63,894,753,258 = 63,894,753,258/x
  3. Step 3: Cross multiply
    40,820,194,468x = 63,894,753,258 × 63,894,753,258
  4. Step 4: Simplify right side
    40,820,194,468x = 4,082,539,493,900,701,663,232
  5. Step 5: Solve for x
    x = 4,082,539,493,900,701,663,232/40,820,194,468
  6. Step 6: Final answer
    x = 100,012,739,946.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.