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Finding the Third Proportional to 1,312,102,105 and 2,891,652,412

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Solution

The third proportional to 1,312,102,105 and 2,891,652,412 is: 6,372,715,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,102,105 : 2,891,652,412 = 2,891,652,412 : x
  2. Step 2: Convert to fraction form
    1,312,102,105/2,891,652,412 = 2,891,652,412/x
  3. Step 3: Cross multiply
    1,312,102,105x = 2,891,652,412 × 2,891,652,412
  4. Step 4: Simplify right side
    1,312,102,105x = 8,361,653,671,825,418,240
  5. Step 5: Solve for x
    x = 8,361,653,671,825,418,240/1,312,102,105
  6. Step 6: Final answer
    x = 6,372,715,690.31

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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.