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Finding the Third Proportional to 227,465,903,052 and 500,424,191,106

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Solution

The third proportional to 227,465,903,052 and 500,424,191,106 is: 1,100,931,470,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,465,903,052 : 500,424,191,106 = 500,424,191,106 : x
  2. Step 2: Convert to fraction form
    227,465,903,052/500,424,191,106 = 500,424,191,106/x
  3. Step 3: Cross multiply
    227,465,903,052x = 500,424,191,106 × 500,424,191,106
  4. Step 4: Simplify right side
    227,465,903,052x = 250,424,371,044,094,423,597,056
  5. Step 5: Solve for x
    x = 250,424,371,044,094,423,597,056/227,465,903,052
  6. Step 6: Final answer
    x = 1,100,931,470,097.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.