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Finding the Third Proportional to 553,042,350 and 1,184,968,561

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Solution

The third proportional to 553,042,350 and 1,184,968,561 is: 2,538,956,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,042,350 : 1,184,968,561 = 1,184,968,561 : x
  2. Step 2: Convert to fraction form
    553,042,350/1,184,968,561 = 1,184,968,561/x
  3. Step 3: Cross multiply
    553,042,350x = 1,184,968,561 × 1,184,968,561
  4. Step 4: Simplify right side
    553,042,350x = 1,404,150,490,558,410,752
  5. Step 5: Solve for x
    x = 1,404,150,490,558,410,752/553,042,350
  6. Step 6: Final answer
    x = 2,538,956,538.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.