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Finding the Third Proportional to 2,618,261,232 and 4,065,349,696

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Solution

The third proportional to 2,618,261,232 and 4,065,349,696 is: 6,312,230,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618,261,232 : 4,065,349,696 = 4,065,349,696 : x
  2. Step 2: Convert to fraction form
    2,618,261,232/4,065,349,696 = 4,065,349,696/x
  3. Step 3: Cross multiply
    2,618,261,232x = 4,065,349,696 × 4,065,349,696
  4. Step 4: Simplify right side
    2,618,261,232x = 16,527,068,150,767,292,416
  5. Step 5: Solve for x
    x = 16,527,068,150,767,292,416/2,618,261,232
  6. Step 6: Final answer
    x = 6,312,230,402.67

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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.