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Finding the Third Proportional to 54,845,402,323.50 and 77,234,412,186

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Solution

The third proportional to 54,845,402,323.50 and 77,234,412,186 is: 108,763,071,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,845,402,323.50 : 77,234,412,186 = 77,234,412,186 : x
  2. Step 2: Convert to fraction form
    54,845,402,323.50/77,234,412,186 = 77,234,412,186/x
  3. Step 3: Cross multiply
    54,845,402,323.50x = 77,234,412,186 × 77,234,412,186
  4. Step 4: Simplify right side
    54,845,402,323.50x = 5,965,154,425,716,945,715,200
  5. Step 5: Solve for x
    x = 5,965,154,425,716,945,715,200/54,845,402,323.50
  6. Step 6: Final answer
    x = 108,763,071,707.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.