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Finding the Third Proportional to 755,355,266 and 1,625,501,812

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Solution

The third proportional to 755,355,266 and 1,625,501,812 is: 3,498,031,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,355,266 : 1,625,501,812 = 1,625,501,812 : x
  2. Step 2: Convert to fraction form
    755,355,266/1,625,501,812 = 1,625,501,812/x
  3. Step 3: Cross multiply
    755,355,266x = 1,625,501,812 × 1,625,501,812
  4. Step 4: Simplify right side
    755,355,266x = 2,642,256,140,815,283,200
  5. Step 5: Solve for x
    x = 2,642,256,140,815,283,200/755,355,266
  6. Step 6: Final answer
    x = 3,498,031,005.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.