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Finding the Third Proportional to 77,858,532 and 183,792,372

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Solution

The third proportional to 77,858,532 and 183,792,372 is: 433,859,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858,532 : 183,792,372 = 183,792,372 : x
  2. Step 2: Convert to fraction form
    77,858,532/183,792,372 = 183,792,372/x
  3. Step 3: Cross multiply
    77,858,532x = 183,792,372 × 183,792,372
  4. Step 4: Simplify right side
    77,858,532x = 33,779,636,005,386,384
  5. Step 5: Solve for x
    x = 33,779,636,005,386,384/77,858,532
  6. Step 6: Final answer
    x = 433,859,143.47

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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.