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Finding the Third Proportional to 2,447,416 and 5,301,560

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Solution

The third proportional to 2,447,416 and 5,301,560 is: 11,484,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,416 : 5,301,560 = 5,301,560 : x
  2. Step 2: Convert to fraction form
    2,447,416/5,301,560 = 5,301,560/x
  3. Step 3: Cross multiply
    2,447,416x = 5,301,560 × 5,301,560
  4. Step 4: Simplify right side
    2,447,416x = 28,106,538,433,600
  5. Step 5: Solve for x
    x = 28,106,538,433,600/2,447,416
  6. Step 6: Final answer
    x = 11,484,168.79

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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.