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Finding the Third Proportional to 4,784,908,080,748.50 and 10,295,535,828,177

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Solution

The third proportional to 4,784,908,080,748.50 and 10,295,535,828,177 is: 22,152,579,778,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784,908,080,748.50 : 10,295,535,828,177 = 10,295,535,828,177 : x
  2. Step 2: Convert to fraction form
    4,784,908,080,748.50/10,295,535,828,177 = 10,295,535,828,177/x
  3. Step 3: Cross multiply
    4,784,908,080,748.50x = 10,295,535,828,177 × 10,295,535,828,177
  4. Step 4: Simplify right side
    4,784,908,080,748.50x = 105,998,057,989,276,270,468,268,032
  5. Step 5: Solve for x
    x = 105,998,057,989,276,270,468,268,032/4,784,908,080,748.50
  6. Step 6: Final answer
    x = 22,152,579,778,020.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.