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Finding the Third Proportional to 235,778,669,324.44 and 512,868,201,253.28

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Solution

The third proportional to 235,778,669,324.44 and 512,868,201,253.28 is: 1,115,596,218,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778,669,324.44 : 512,868,201,253.28 = 512,868,201,253.28 : x
  2. Step 2: Convert to fraction form
    235,778,669,324.44/512,868,201,253.28 = 512,868,201,253.28/x
  3. Step 3: Cross multiply
    235,778,669,324.44x = 512,868,201,253.28 × 512,868,201,253.28
  4. Step 4: Simplify right side
    235,778,669,324.44x = 263,033,791,856,774,947,536,896
  5. Step 5: Solve for x
    x = 263,033,791,856,774,947,536,896/235,778,669,324.44
  6. Step 6: Final answer
    x = 1,115,596,218,311.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.