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Finding the Third Proportional to 75,884,228,070 and 168,735,086,467

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Solution

The third proportional to 75,884,228,070 and 168,735,086,467 is: 375,196,929,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884,228,070 : 168,735,086,467 = 168,735,086,467 : x
  2. Step 2: Convert to fraction form
    75,884,228,070/168,735,086,467 = 168,735,086,467/x
  3. Step 3: Cross multiply
    75,884,228,070x = 168,735,086,467 × 168,735,086,467
  4. Step 4: Simplify right side
    75,884,228,070x = 28,471,529,405,025,966,096,384
  5. Step 5: Solve for x
    x = 28,471,529,405,025,966,096,384/75,884,228,070
  6. Step 6: Final answer
    x = 375,196,929,970.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.