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Finding the Third Proportional to 174,612,422 and 380,225,572

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Solution

The third proportional to 174,612,422 and 380,225,572 is: 827,956,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612,422 : 380,225,572 = 380,225,572 : x
  2. Step 2: Convert to fraction form
    174,612,422/380,225,572 = 380,225,572/x
  3. Step 3: Cross multiply
    174,612,422x = 380,225,572 × 380,225,572
  4. Step 4: Simplify right side
    174,612,422x = 144,571,485,602,727,168
  5. Step 5: Solve for x
    x = 144,571,485,602,727,168/174,612,422
  6. Step 6: Final answer
    x = 827,956,476.10

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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.