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Finding the Third Proportional to 1,090,104,983 and 2,391,256,638

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Solution

The third proportional to 1,090,104,983 and 2,391,256,638 is: 5,245,465,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,104,983 : 2,391,256,638 = 2,391,256,638 : x
  2. Step 2: Convert to fraction form
    1,090,104,983/2,391,256,638 = 2,391,256,638/x
  3. Step 3: Cross multiply
    1,090,104,983x = 2,391,256,638 × 2,391,256,638
  4. Step 4: Simplify right side
    1,090,104,983x = 5,718,108,308,779,063,296
  5. Step 5: Solve for x
    x = 5,718,108,308,779,063,296/1,090,104,983
  6. Step 6: Final answer
    x = 5,245,465,710.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.