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Finding the Third Proportional to 2,673,712 and 5,773,572

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Solution

The third proportional to 2,673,712 and 5,773,572 is: 12,467,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,712 : 5,773,572 = 5,773,572 : x
  2. Step 2: Convert to fraction form
    2,673,712/5,773,572 = 5,773,572/x
  3. Step 3: Cross multiply
    2,673,712x = 5,773,572 × 5,773,572
  4. Step 4: Simplify right side
    2,673,712x = 33,334,133,639,184
  5. Step 5: Solve for x
    x = 33,334,133,639,184/2,673,712
  6. Step 6: Final answer
    x = 12,467,361.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.