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Finding the Third Proportional to 235,778,683,775 and 512,868,225,790

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Solution

The third proportional to 235,778,683,775 and 512,868,225,790 is: 1,115,596,256,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778,683,775 : 512,868,225,790 = 512,868,225,790 : x
  2. Step 2: Convert to fraction form
    235,778,683,775/512,868,225,790 = 512,868,225,790/x
  3. Step 3: Cross multiply
    235,778,683,775x = 512,868,225,790 × 512,868,225,790
  4. Step 4: Simplify right side
    235,778,683,775x = 263,033,817,024,982,419,505,152
  5. Step 5: Solve for x
    x = 263,033,817,024,982,419,505,152/235,778,683,775
  6. Step 6: Final answer
    x = 1,115,596,256,682.78

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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.