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Finding the Third Proportional to 264,508,418 and 569,548,804

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Solution

The third proportional to 264,508,418 and 569,548,804 is: 1,226,372,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,508,418 : 569,548,804 = 569,548,804 : x
  2. Step 2: Convert to fraction form
    264,508,418/569,548,804 = 569,548,804/x
  3. Step 3: Cross multiply
    264,508,418x = 569,548,804 × 569,548,804
  4. Step 4: Simplify right side
    264,508,418x = 324,385,840,137,830,400
  5. Step 5: Solve for x
    x = 324,385,840,137,830,400/264,508,418
  6. Step 6: Final answer
    x = 1,226,372,463.27

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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.