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Finding the Third Proportional to 429,259,464 and 931,109,616

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Solution

The third proportional to 429,259,464 and 931,109,616 is: 2,019,676,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,259,464 : 931,109,616 = 931,109,616 : x
  2. Step 2: Convert to fraction form
    429,259,464/931,109,616 = 931,109,616/x
  3. Step 3: Cross multiply
    429,259,464x = 931,109,616 × 931,109,616
  4. Step 4: Simplify right side
    429,259,464x = 866,965,117,007,667,456
  5. Step 5: Solve for x
    x = 866,965,117,007,667,456/429,259,464
  6. Step 6: Final answer
    x = 2,019,676,185.89

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