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Finding the Third Proportional to 16,775,793,260 and 26,047,617,150

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Solution

The third proportional to 16,775,793,260 and 26,047,617,150 is: 40,443,891,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775,793,260 : 26,047,617,150 = 26,047,617,150 : x
  2. Step 2: Convert to fraction form
    16,775,793,260/26,047,617,150 = 26,047,617,150/x
  3. Step 3: Cross multiply
    16,775,793,260x = 26,047,617,150 × 26,047,617,150
  4. Step 4: Simplify right side
    16,775,793,260x = 678,478,359,192,974,131,200
  5. Step 5: Solve for x
    x = 678,478,359,192,974,131,200/16,775,793,260
  6. Step 6: Final answer
    x = 40,443,891,306.81

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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.