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Finding the Third Proportional to 1,312,102,072 and 2,891,652,327

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Solution

The third proportional to 1,312,102,072 and 2,891,652,327 is: 6,372,715,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,102,072 : 2,891,652,327 = 2,891,652,327 : x
  2. Step 2: Convert to fraction form
    1,312,102,072/2,891,652,327 = 2,891,652,327/x
  3. Step 3: Cross multiply
    1,312,102,072x = 2,891,652,327 × 2,891,652,327
  4. Step 4: Simplify right side
    1,312,102,072x = 8,361,653,180,244,514,816
  5. Step 5: Solve for x
    x = 8,361,653,180,244,514,816/1,312,102,072
  6. Step 6: Final answer
    x = 6,372,715,475.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.