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Finding the Third Proportional to 401,917,266.94 and 836,863,933.78

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Solution

The third proportional to 401,917,266.94 and 836,863,933.78 is: 1,742,501,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,917,266.94 : 836,863,933.78 = 836,863,933.78 : x
  2. Step 2: Convert to fraction form
    401,917,266.94/836,863,933.78 = 836,863,933.78/x
  3. Step 3: Cross multiply
    401,917,266.94x = 836,863,933.78 × 836,863,933.78
  4. Step 4: Simplify right side
    401,917,266.94x = 700,341,243,663,828,352
  5. Step 5: Solve for x
    x = 700,341,243,663,828,352/401,917,266.94
  6. Step 6: Final answer
    x = 1,742,501,010.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.