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Finding the Third Proportional to 7,461,918 and 15,820,614

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Solution

The third proportional to 7,461,918 and 15,820,614 is: 33,542,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461,918 : 15,820,614 = 15,820,614 : x
  2. Step 2: Convert to fraction form
    7,461,918/15,820,614 = 15,820,614/x
  3. Step 3: Cross multiply
    7,461,918x = 15,820,614 × 15,820,614
  4. Step 4: Simplify right side
    7,461,918x = 250,291,827,336,996
  5. Step 5: Solve for x
    x = 250,291,827,336,996/7,461,918
  6. Step 6: Final answer
    x = 33,542,559.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.