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Finding the Third Proportional to 1,166,609,200 and 1,705,623,427

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Solution

The third proportional to 1,166,609,200 and 1,705,623,427 is: 2,493,681,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,609,200 : 1,705,623,427 = 1,705,623,427 : x
  2. Step 2: Convert to fraction form
    1,166,609,200/1,705,623,427 = 1,705,623,427/x
  3. Step 3: Cross multiply
    1,166,609,200x = 1,705,623,427 × 1,705,623,427
  4. Step 4: Simplify right side
    1,166,609,200x = 2,909,151,274,731,224,576
  5. Step 5: Solve for x
    x = 2,909,151,274,731,224,576/1,166,609,200
  6. Step 6: Final answer
    x = 2,493,681,067.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.