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Finding the Third Proportional to 2,752,712 and 6,477,344

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Solution

The third proportional to 2,752,712 and 6,477,344 is: 15,241,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752,712 : 6,477,344 = 6,477,344 : x
  2. Step 2: Convert to fraction form
    2,752,712/6,477,344 = 6,477,344/x
  3. Step 3: Cross multiply
    2,752,712x = 6,477,344 × 6,477,344
  4. Step 4: Simplify right side
    2,752,712x = 41,955,985,294,336
  5. Step 5: Solve for x
    x = 41,955,985,294,336/2,752,712
  6. Step 6: Final answer
    x = 15,241,690.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.