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Finding the Third Proportional to 335,549,338.50 and 729,180,927

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Solution

The third proportional to 335,549,338.50 and 729,180,927 is: 1,584,580,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,549,338.50 : 729,180,927 = 729,180,927 : x
  2. Step 2: Convert to fraction form
    335,549,338.50/729,180,927 = 729,180,927/x
  3. Step 3: Cross multiply
    335,549,338.50x = 729,180,927 × 729,180,927
  4. Step 4: Simplify right side
    335,549,338.50x = 531,704,824,300,579,328
  5. Step 5: Solve for x
    x = 531,704,824,300,579,328/335,549,338.50
  6. Step 6: Final answer
    x = 1,584,580,159.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.