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Finding the Third Proportional to 34,184,808 and 80,697,276

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Solution

The third proportional to 34,184,808 and 80,697,276 is: 190,495,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,184,808 : 80,697,276 = 80,697,276 : x
  2. Step 2: Convert to fraction form
    34,184,808/80,697,276 = 80,697,276/x
  3. Step 3: Cross multiply
    34,184,808x = 80,697,276 × 80,697,276
  4. Step 4: Simplify right side
    34,184,808x = 6,512,050,353,820,176
  5. Step 5: Solve for x
    x = 6,512,050,353,820,176/34,184,808
  6. Step 6: Final answer
    x = 190,495,449.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.