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Finding the Third Proportional to 4,935,984 and 10,817,376

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Solution

The third proportional to 4,935,984 and 10,817,376 is: 23,706,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935,984 : 10,817,376 = 10,817,376 : x
  2. Step 2: Convert to fraction form
    4,935,984/10,817,376 = 10,817,376/x
  3. Step 3: Cross multiply
    4,935,984x = 10,817,376 × 10,817,376
  4. Step 4: Simplify right side
    4,935,984x = 117,015,623,525,376
  5. Step 5: Solve for x
    x = 117,015,623,525,376/4,935,984
  6. Step 6: Final answer
    x = 23,706,645.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.