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Finding the Third Proportional to 3,621,769 and 7,872,534

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Solution

The third proportional to 3,621,769 and 7,872,534 is: 17,112,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621,769 : 7,872,534 = 7,872,534 : x
  2. Step 2: Convert to fraction form
    3,621,769/7,872,534 = 7,872,534/x
  3. Step 3: Cross multiply
    3,621,769x = 7,872,534 × 7,872,534
  4. Step 4: Simplify right side
    3,621,769x = 61,976,791,581,156
  5. Step 5: Solve for x
    x = 61,976,791,581,156/3,621,769
  6. Step 6: Final answer
    x = 17,112,298.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.