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Finding the Third Proportional to 1,232,141,256 and 2,905,705,471

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Solution

The third proportional to 1,232,141,256 and 2,905,705,471 is: 6,852,399,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,141,256 : 2,905,705,471 = 2,905,705,471 : x
  2. Step 2: Convert to fraction form
    1,232,141,256/2,905,705,471 = 2,905,705,471/x
  3. Step 3: Cross multiply
    1,232,141,256x = 2,905,705,471 × 2,905,705,471
  4. Step 4: Simplify right side
    1,232,141,256x = 8,443,124,284,199,331,840
  5. Step 5: Solve for x
    x = 8,443,124,284,199,331,840/1,232,141,256
  6. Step 6: Final answer
    x = 6,852,399,627.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.