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Finding the Third Proportional to 282,833,047 and 436,355,849

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Solution

The third proportional to 282,833,047 and 436,355,849 is: 673,211,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,833,047 : 436,355,849 = 436,355,849 : x
  2. Step 2: Convert to fraction form
    282,833,047/436,355,849 = 436,355,849/x
  3. Step 3: Cross multiply
    282,833,047x = 436,355,849 × 436,355,849
  4. Step 4: Simplify right side
    282,833,047x = 190,406,426,956,510,816
  5. Step 5: Solve for x
    x = 190,406,426,956,510,816/282,833,047
  6. Step 6: Final answer
    x = 673,211,383.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.