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Finding the Third Proportional to 957,137,956 and 2,077,628,412

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Solution

The third proportional to 957,137,956 and 2,077,628,412 is: 4,509,840,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,137,956 : 2,077,628,412 = 2,077,628,412 : x
  2. Step 2: Convert to fraction form
    957,137,956/2,077,628,412 = 2,077,628,412/x
  3. Step 3: Cross multiply
    957,137,956x = 2,077,628,412 × 2,077,628,412
  4. Step 4: Simplify right side
    957,137,956x = 4,316,539,818,349,641,728
  5. Step 5: Solve for x
    x = 4,316,539,818,349,641,728/957,137,956
  6. Step 6: Final answer
    x = 4,509,840,813.74

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Why These Related Problems?

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