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Finding the Third Proportional to 76,996,806 and 171,208,740

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Solution

The third proportional to 76,996,806 and 171,208,740 is: 380,696,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996,806 : 171,208,740 = 171,208,740 : x
  2. Step 2: Convert to fraction form
    76,996,806/171,208,740 = 171,208,740/x
  3. Step 3: Cross multiply
    76,996,806x = 171,208,740 × 171,208,740
  4. Step 4: Simplify right side
    76,996,806x = 29,312,432,652,387,600
  5. Step 5: Solve for x
    x = 29,312,432,652,387,600/76,996,806
  6. Step 6: Final answer
    x = 380,696,735.04

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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.