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Finding the Third Proportional to 37,771,324 and 83,482,276

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Solution

The third proportional to 37,771,324 and 83,482,276 is: 184,512,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,771,324 : 83,482,276 = 83,482,276 : x
  2. Step 2: Convert to fraction form
    37,771,324/83,482,276 = 83,482,276/x
  3. Step 3: Cross multiply
    37,771,324x = 83,482,276 × 83,482,276
  4. Step 4: Simplify right side
    37,771,324x = 6,969,290,406,140,176
  5. Step 5: Solve for x
    x = 6,969,290,406,140,176/37,771,324
  6. Step 6: Final answer
    x = 184,512,737.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.