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Finding the Third Proportional to 1,312,102,101 and 2,891,652,404

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Solution

The third proportional to 1,312,102,101 and 2,891,652,404 is: 6,372,715,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,102,101 : 2,891,652,404 = 2,891,652,404 : x
  2. Step 2: Convert to fraction form
    1,312,102,101/2,891,652,404 = 2,891,652,404/x
  3. Step 3: Cross multiply
    1,312,102,101x = 2,891,652,404 × 2,891,652,404
  4. Step 4: Simplify right side
    1,312,102,101x = 8,361,653,625,558,979,584
  5. Step 5: Solve for x
    x = 8,361,653,625,558,979,584/1,312,102,101
  6. Step 6: Final answer
    x = 6,372,715,674.48

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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.