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Finding the Third Proportional to 33,140,369,580 and 72,696,885,381.75

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Solution

The third proportional to 33,140,369,580 and 72,696,885,381.75 is: 159,468,262,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140,369,580 : 72,696,885,381.75 = 72,696,885,381.75 : x
  2. Step 2: Convert to fraction form
    33,140,369,580/72,696,885,381.75 = 72,696,885,381.75/x
  3. Step 3: Cross multiply
    33,140,369,580x = 72,696,885,381.75 × 72,696,885,381.75
  4. Step 4: Simplify right side
    33,140,369,580x = 5,284,837,144,207,296,561,152
  5. Step 5: Solve for x
    x = 5,284,837,144,207,296,561,152/33,140,369,580
  6. Step 6: Final answer
    x = 159,468,262,158.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.