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Finding the Third Proportional to 187,436,852 and 407,113,360

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Solution

The third proportional to 187,436,852 and 407,113,360 is: 884,251,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,436,852 : 407,113,360 = 407,113,360 : x
  2. Step 2: Convert to fraction form
    187,436,852/407,113,360 = 407,113,360/x
  3. Step 3: Cross multiply
    187,436,852x = 407,113,360 × 407,113,360
  4. Step 4: Simplify right side
    187,436,852x = 165,741,287,890,489,600
  5. Step 5: Solve for x
    x = 165,741,287,890,489,600/187,436,852
  6. Step 6: Final answer
    x = 884,251,341.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.