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Finding the Third Proportional to 288,782,352 and 623,599,916

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Solution

The third proportional to 288,782,352 and 623,599,916 is: 1,346,608,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,782,352 : 623,599,916 = 623,599,916 : x
  2. Step 2: Convert to fraction form
    288,782,352/623,599,916 = 623,599,916/x
  3. Step 3: Cross multiply
    288,782,352x = 623,599,916 × 623,599,916
  4. Step 4: Simplify right side
    288,782,352x = 388,876,855,235,207,040
  5. Step 5: Solve for x
    x = 388,876,855,235,207,040/288,782,352
  6. Step 6: Final answer
    x = 1,346,608,795.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.