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Finding the Third Proportional to 645,796,414,309.62 and 1,383,706,868,348.40

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Solution

The third proportional to 645,796,414,309.62 and 1,383,706,868,348.40 is: 2,964,780,626,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,796,414,309.62 : 1,383,706,868,348.40 = 1,383,706,868,348.40 : x
  2. Step 2: Convert to fraction form
    645,796,414,309.62/1,383,706,868,348.40 = 1,383,706,868,348.40/x
  3. Step 3: Cross multiply
    645,796,414,309.62x = 1,383,706,868,348.40 × 1,383,706,868,348.40
  4. Step 4: Simplify right side
    645,796,414,309.62x = 1,914,644,697,514,536,003,960,832
  5. Step 5: Solve for x
    x = 1,914,644,697,514,536,003,960,832/645,796,414,309.62
  6. Step 6: Final answer
    x = 2,964,780,626,045.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.