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Finding the Third Proportional to 10,974,746 and 23,903,987

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Solution

The third proportional to 10,974,746 and 23,903,987 is: 52,065,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,746 : 23,903,987 = 23,903,987 : x
  2. Step 2: Convert to fraction form
    10,974,746/23,903,987 = 23,903,987/x
  3. Step 3: Cross multiply
    10,974,746x = 23,903,987 × 23,903,987
  4. Step 4: Simplify right side
    10,974,746x = 571,400,594,496,169
  5. Step 5: Solve for x
    x = 571,400,594,496,169/10,974,746
  6. Step 6: Final answer
    x = 52,065,040.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.