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Finding the Third Proportional to 10,625,828,667 and 23,253,339,699

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Solution

The third proportional to 10,625,828,667 and 23,253,339,699 is: 50,887,118,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625,828,667 : 23,253,339,699 = 23,253,339,699 : x
  2. Step 2: Convert to fraction form
    10,625,828,667/23,253,339,699 = 23,253,339,699/x
  3. Step 3: Cross multiply
    10,625,828,667x = 23,253,339,699 × 23,253,339,699
  4. Step 4: Simplify right side
    10,625,828,667x = 540,717,807,157,089,402,880
  5. Step 5: Solve for x
    x = 540,717,807,157,089,402,880/10,625,828,667
  6. Step 6: Final answer
    x = 50,887,118,934.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.