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Finding the Third Proportional to 77,534,384 and 169,152,064

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Solution

The third proportional to 77,534,384 and 169,152,064 is: 369,028,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534,384 : 169,152,064 = 169,152,064 : x
  2. Step 2: Convert to fraction form
    77,534,384/169,152,064 = 169,152,064/x
  3. Step 3: Cross multiply
    77,534,384x = 169,152,064 × 169,152,064
  4. Step 4: Simplify right side
    77,534,384x = 28,612,420,755,460,096
  5. Step 5: Solve for x
    x = 28,612,420,755,460,096/77,534,384
  6. Step 6: Final answer
    x = 369,028,800.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.