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Finding the Third Proportional to 5,754,748 and 12,605,912

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Solution

The third proportional to 5,754,748 and 12,605,912 is: 27,613,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754,748 : 12,605,912 = 12,605,912 : x
  2. Step 2: Convert to fraction form
    5,754,748/12,605,912 = 12,605,912/x
  3. Step 3: Cross multiply
    5,754,748x = 12,605,912 × 12,605,912
  4. Step 4: Simplify right side
    5,754,748x = 158,909,017,351,744
  5. Step 5: Solve for x
    x = 158,909,017,351,744/5,754,748
  6. Step 6: Final answer
    x = 27,613,549.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.