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Finding the Third Proportional to 77,858,522 and 183,792,353

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Solution

The third proportional to 77,858,522 and 183,792,353 is: 433,859,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858,522 : 183,792,353 = 183,792,353 : x
  2. Step 2: Convert to fraction form
    77,858,522/183,792,353 = 183,792,353/x
  3. Step 3: Cross multiply
    77,858,522x = 183,792,353 × 183,792,353
  4. Step 4: Simplify right side
    77,858,522x = 33,779,629,021,276,608
  5. Step 5: Solve for x
    x = 33,779,629,021,276,608/77,858,522
  6. Step 6: Final answer
    x = 433,859,109.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.