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Finding the Third Proportional to 816,702,336 and 1,255,330,032

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Solution

The third proportional to 816,702,336 and 1,255,330,032 is: 1,929,532,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,702,336 : 1,255,330,032 = 1,255,330,032 : x
  2. Step 2: Convert to fraction form
    816,702,336/1,255,330,032 = 1,255,330,032/x
  3. Step 3: Cross multiply
    816,702,336x = 1,255,330,032 × 1,255,330,032
  4. Step 4: Simplify right side
    816,702,336x = 1,575,853,489,241,121,024
  5. Step 5: Solve for x
    x = 1,575,853,489,241,121,024/816,702,336
  6. Step 6: Final answer
    x = 1,929,532,241.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.