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Finding the Third Proportional to 362,483,348,850 and 568,629,404,862

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Solution

The third proportional to 362,483,348,850 and 568,629,404,862 is: 892,011,732,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,483,348,850 : 568,629,404,862 = 568,629,404,862 : x
  2. Step 2: Convert to fraction form
    362,483,348,850/568,629,404,862 = 568,629,404,862/x
  3. Step 3: Cross multiply
    362,483,348,850x = 568,629,404,862 × 568,629,404,862
  4. Step 4: Simplify right side
    362,483,348,850x = 323,339,400,073,712,318,283,776
  5. Step 5: Solve for x
    x = 323,339,400,073,712,318,283,776/362,483,348,850
  6. Step 6: Final answer
    x = 892,011,732,675.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.