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Finding the Third Proportional to 1,574,310,458 and 3,644,625,209

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Solution

The third proportional to 1,574,310,458 and 3,644,625,209 is: 8,437,530,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,310,458 : 3,644,625,209 = 3,644,625,209 : x
  2. Step 2: Convert to fraction form
    1,574,310,458/3,644,625,209 = 3,644,625,209/x
  3. Step 3: Cross multiply
    1,574,310,458x = 3,644,625,209 × 3,644,625,209
  4. Step 4: Simplify right side
    1,574,310,458x = 13,283,292,914,078,294,016
  5. Step 5: Solve for x
    x = 13,283,292,914,078,294,016/1,574,310,458
  6. Step 6: Final answer
    x = 8,437,530,759.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.