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Finding the Third Proportional to 737,161,298 and 1,613,170,852

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Solution

The third proportional to 737,161,298 and 1,613,170,852 is: 3,530,191,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,161,298 : 1,613,170,852 = 1,613,170,852 : x
  2. Step 2: Convert to fraction form
    737,161,298/1,613,170,852 = 1,613,170,852/x
  3. Step 3: Cross multiply
    737,161,298x = 1,613,170,852 × 1,613,170,852
  4. Step 4: Simplify right side
    737,161,298x = 2,602,320,197,742,406,144
  5. Step 5: Solve for x
    x = 2,602,320,197,742,406,144/737,161,298
  6. Step 6: Final answer
    x = 3,530,191,024.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.