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Finding the Third Proportional to 10,698,966 and 20,862,084

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Solution

The third proportional to 10,698,966 and 20,862,084 is: 40,679,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698,966 : 20,862,084 = 20,862,084 : x
  2. Step 2: Convert to fraction form
    10,698,966/20,862,084 = 20,862,084/x
  3. Step 3: Cross multiply
    10,698,966x = 20,862,084 × 20,862,084
  4. Step 4: Simplify right side
    10,698,966x = 435,226,548,823,056
  5. Step 5: Solve for x
    x = 435,226,548,823,056/10,698,966
  6. Step 6: Final answer
    x = 40,679,309.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.