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Finding the Third Proportional to 16,775,793,264 and 26,047,617,156

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Solution

The third proportional to 16,775,793,264 and 26,047,617,156 is: 40,443,891,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775,793,264 : 26,047,617,156 = 26,047,617,156 : x
  2. Step 2: Convert to fraction form
    16,775,793,264/26,047,617,156 = 26,047,617,156/x
  3. Step 3: Cross multiply
    16,775,793,264x = 26,047,617,156 × 26,047,617,156
  4. Step 4: Simplify right side
    16,775,793,264x = 678,478,359,505,545,592,832
  5. Step 5: Solve for x
    x = 678,478,359,505,545,592,832/16,775,793,264
  6. Step 6: Final answer
    x = 40,443,891,315.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.