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Finding the Third Proportional to 339,549,888 and 727,505,220

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Solution

The third proportional to 339,549,888 and 727,505,220 is: 1,558,721,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,549,888 : 727,505,220 = 727,505,220 : x
  2. Step 2: Convert to fraction form
    339,549,888/727,505,220 = 727,505,220/x
  3. Step 3: Cross multiply
    339,549,888x = 727,505,220 × 727,505,220
  4. Step 4: Simplify right side
    339,549,888x = 529,263,845,127,248,384
  5. Step 5: Solve for x
    x = 529,263,845,127,248,384/339,549,888
  6. Step 6: Final answer
    x = 1,558,721,895.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.