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Finding the Third Proportional to 77,858,748 and 183,792,915

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Solution

The third proportional to 77,858,748 and 183,792,915 is: 433,860,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858,748 : 183,792,915 = 183,792,915 : x
  2. Step 2: Convert to fraction form
    77,858,748/183,792,915 = 183,792,915/x
  3. Step 3: Cross multiply
    77,858,748x = 183,792,915 × 183,792,915
  4. Step 4: Simplify right side
    77,858,748x = 33,779,835,604,197,224
  5. Step 5: Solve for x
    x = 33,779,835,604,197,224/77,858,748
  6. Step 6: Final answer
    x = 433,860,503.44

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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.