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Finding the Third Proportional to 8,751,546,564 and 18,830,426,768

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Solution

The third proportional to 8,751,546,564 and 18,830,426,768 is: 40,516,835,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751,546,564 : 18,830,426,768 = 18,830,426,768 : x
  2. Step 2: Convert to fraction form
    8,751,546,564/18,830,426,768 = 18,830,426,768/x
  3. Step 3: Cross multiply
    8,751,546,564x = 18,830,426,768 × 18,830,426,768
  4. Step 4: Simplify right side
    8,751,546,564x = 354,584,972,265,010,954,240
  5. Step 5: Solve for x
    x = 354,584,972,265,010,954,240/8,751,546,564
  6. Step 6: Final answer
    x = 40,516,835,472.67

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Why These Related Problems?

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