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Finding the Third Proportional to 1,952,091,135 and 2,973,876,714

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Solution

The third proportional to 1,952,091,135 and 2,973,876,714 is: 4,530,496,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,091,135 : 2,973,876,714 = 2,973,876,714 : x
  2. Step 2: Convert to fraction form
    1,952,091,135/2,973,876,714 = 2,973,876,714/x
  3. Step 3: Cross multiply
    1,952,091,135x = 2,973,876,714 × 2,973,876,714
  4. Step 4: Simplify right side
    1,952,091,135x = 8,843,942,710,071,437,312
  5. Step 5: Solve for x
    x = 8,843,942,710,071,437,312/1,952,091,135
  6. Step 6: Final answer
    x = 4,530,496,835.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.