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Finding the Third Proportional to 332,778,023 and 519,312,818

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Solution

The third proportional to 332,778,023 and 519,312,818 is: 810,407,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,778,023 : 519,312,818 = 519,312,818 : x
  2. Step 2: Convert to fraction form
    332,778,023/519,312,818 = 519,312,818/x
  3. Step 3: Cross multiply
    332,778,023x = 519,312,818 × 519,312,818
  4. Step 4: Simplify right side
    332,778,023x = 269,685,802,939,101,120
  5. Step 5: Solve for x
    x = 269,685,802,939,101,120/332,778,023
  6. Step 6: Final answer
    x = 810,407,491.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.