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Finding the Third Proportional to 608,287,827,604.22 and 1,266,635,202,746.30

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Solution

The third proportional to 608,287,827,604.22 and 1,266,635,202,746.30 is: 2,637,509,192,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,287,827,604.22 : 1,266,635,202,746.30 = 1,266,635,202,746.30 : x
  2. Step 2: Convert to fraction form
    608,287,827,604.22/1,266,635,202,746.30 = 1,266,635,202,746.30/x
  3. Step 3: Cross multiply
    608,287,827,604.22x = 1,266,635,202,746.30 × 1,266,635,202,746.30
  4. Step 4: Simplify right side
    608,287,827,604.22x = 1,604,364,736,836,160,618,233,856
  5. Step 5: Solve for x
    x = 1,604,364,736,836,160,618,233,856/608,287,827,604.22
  6. Step 6: Final answer
    x = 2,637,509,192,243.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.