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Finding the Third Proportional to 5,182,958 and 10,697,124

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Solution

The third proportional to 5,182,958 and 10,697,124 is: 22,077,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,958 : 10,697,124 = 10,697,124 : x
  2. Step 2: Convert to fraction form
    5,182,958/10,697,124 = 10,697,124/x
  3. Step 3: Cross multiply
    5,182,958x = 10,697,124 × 10,697,124
  4. Step 4: Simplify right side
    5,182,958x = 114,428,461,871,376
  5. Step 5: Solve for x
    x = 114,428,461,871,376/5,182,958
  6. Step 6: Final answer
    x = 22,077,829.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.