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Finding the Third Proportional to 174,611,769 and 380,224,263

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Solution

The third proportional to 174,611,769 and 380,224,263 is: 827,953,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,611,769 : 380,224,263 = 380,224,263 : x
  2. Step 2: Convert to fraction form
    174,611,769/380,224,263 = 380,224,263/x
  3. Step 3: Cross multiply
    174,611,769x = 380,224,263 × 380,224,263
  4. Step 4: Simplify right side
    174,611,769x = 144,570,490,173,893,184
  5. Step 5: Solve for x
    x = 144,570,490,173,893,184/174,611,769
  6. Step 6: Final answer
    x = 827,953,871.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.