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Finding the Third Proportional to 27,574,935 and 43,643,475

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Solution

The third proportional to 27,574,935 and 43,643,475 is: 69,075,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574,935 : 43,643,475 = 43,643,475 : x
  2. Step 2: Convert to fraction form
    27,574,935/43,643,475 = 43,643,475/x
  3. Step 3: Cross multiply
    27,574,935x = 43,643,475 × 43,643,475
  4. Step 4: Simplify right side
    27,574,935x = 1,904,752,910,075,625
  5. Step 5: Solve for x
    x = 1,904,752,910,075,625/27,574,935
  6. Step 6: Final answer
    x = 69,075,517.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.