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Finding the Third Proportional to 5,010,528 and 10,729,643.25

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Solution

The third proportional to 5,010,528 and 10,729,643.25 is: 22,976,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010,528 : 10,729,643.25 = 10,729,643.25 : x
  2. Step 2: Convert to fraction form
    5,010,528/10,729,643.25 = 10,729,643.25/x
  3. Step 3: Cross multiply
    5,010,528x = 10,729,643.25 × 10,729,643.25
  4. Step 4: Simplify right side
    5,010,528x = 115,125,244,272,270.56
  5. Step 5: Solve for x
    x = 115,125,244,272,270.56/5,010,528
  6. Step 6: Final answer
    x = 22,976,669.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.