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Finding the Third Proportional to 281,242,253 and 447,531,065

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Solution

The third proportional to 281,242,253 and 447,531,065 is: 712,140,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,242,253 : 447,531,065 = 447,531,065 : x
  2. Step 2: Convert to fraction form
    281,242,253/447,531,065 = 447,531,065/x
  3. Step 3: Cross multiply
    281,242,253x = 447,531,065 × 447,531,065
  4. Step 4: Simplify right side
    281,242,253x = 200,284,054,140,034,240
  5. Step 5: Solve for x
    x = 200,284,054,140,034,240/281,242,253
  6. Step 6: Final answer
    x = 712,140,697.22

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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.