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Finding the Third Proportional to 10,946,268,129 and 23,898,991,834.50

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Solution

The third proportional to 10,946,268,129 and 23,898,991,834.50 is: 52,178,678,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946,268,129 : 23,898,991,834.50 = 23,898,991,834.50 : x
  2. Step 2: Convert to fraction form
    10,946,268,129/23,898,991,834.50 = 23,898,991,834.50/x
  3. Step 3: Cross multiply
    10,946,268,129x = 23,898,991,834.50 × 23,898,991,834.50
  4. Step 4: Simplify right side
    10,946,268,129x = 571,161,810,705,497,653,248
  5. Step 5: Solve for x
    x = 571,161,810,705,497,653,248/10,946,268,129
  6. Step 6: Final answer
    x = 52,178,678,977.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.