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Finding the Third Proportional to 77,858,750 and 183,792,920

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Solution

The third proportional to 77,858,750 and 183,792,920 is: 433,860,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858,750 : 183,792,920 = 183,792,920 : x
  2. Step 2: Convert to fraction form
    77,858,750/183,792,920 = 183,792,920/x
  3. Step 3: Cross multiply
    77,858,750x = 183,792,920 × 183,792,920
  4. Step 4: Simplify right side
    77,858,750x = 33,779,837,442,126,400
  5. Step 5: Solve for x
    x = 33,779,837,442,126,400/77,858,750
  6. Step 6: Final answer
    x = 433,860,515.90

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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.