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Finding the Third Proportional to 643,336,911 and 1,404,654,543

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Solution

The third proportional to 643,336,911 and 1,404,654,543 is: 3,066,906,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,336,911 : 1,404,654,543 = 1,404,654,543 : x
  2. Step 2: Convert to fraction form
    643,336,911/1,404,654,543 = 1,404,654,543/x
  3. Step 3: Cross multiply
    643,336,911x = 1,404,654,543 × 1,404,654,543
  4. Step 4: Simplify right side
    643,336,911x = 1,973,054,385,170,538,752
  5. Step 5: Solve for x
    x = 1,973,054,385,170,538,752/643,336,911
  6. Step 6: Final answer
    x = 3,066,906,859.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.