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Finding the Third Proportional to 1,912,259,426 and 4,135,514,557

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Solution

The third proportional to 1,912,259,426 and 4,135,514,557 is: 8,943,598,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912,259,426 : 4,135,514,557 = 4,135,514,557 : x
  2. Step 2: Convert to fraction form
    1,912,259,426/4,135,514,557 = 4,135,514,557/x
  3. Step 3: Cross multiply
    1,912,259,426x = 4,135,514,557 × 4,135,514,557
  4. Step 4: Simplify right side
    1,912,259,426x = 17,102,480,651,158,906,880
  5. Step 5: Solve for x
    x = 17,102,480,651,158,906,880/1,912,259,426
  6. Step 6: Final answer
    x = 8,943,598,561.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.