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Finding the Third Proportional to 52,421,770.63 and 78,178,060.38

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Solution

The third proportional to 52,421,770.63 and 78,178,060.38 is: 116,589,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,421,770.63 : 78,178,060.38 = 78,178,060.38 : x
  2. Step 2: Convert to fraction form
    52,421,770.63/78,178,060.38 = 78,178,060.38/x
  3. Step 3: Cross multiply
    52,421,770.63x = 78,178,060.38 × 78,178,060.38
  4. Step 4: Simplify right side
    52,421,770.63x = 6,111,809,124,760,162
  5. Step 5: Solve for x
    x = 6,111,809,124,760,162/52,421,770.63
  6. Step 6: Final answer
    x = 116,589,139.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.