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Finding the Third Proportional to 281,242,254 and 447,531,063

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Solution

The third proportional to 281,242,254 and 447,531,063 is: 712,140,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,242,254 : 447,531,063 = 447,531,063 : x
  2. Step 2: Convert to fraction form
    281,242,254/447,531,063 = 447,531,063/x
  3. Step 3: Cross multiply
    281,242,254x = 447,531,063 × 447,531,063
  4. Step 4: Simplify right side
    281,242,254x = 200,284,052,349,909,984
  5. Step 5: Solve for x
    x = 200,284,052,349,909,984/281,242,254
  6. Step 6: Final answer
    x = 712,140,688.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.