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Finding the Third Proportional to 11,650,176 and 25,539,840

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Solution

The third proportional to 11,650,176 and 25,539,840 is: 55,989,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650,176 : 25,539,840 = 25,539,840 : x
  2. Step 2: Convert to fraction form
    11,650,176/25,539,840 = 25,539,840/x
  3. Step 3: Cross multiply
    11,650,176x = 25,539,840 × 25,539,840
  4. Step 4: Simplify right side
    11,650,176x = 652,283,427,225,600
  5. Step 5: Solve for x
    x = 652,283,427,225,600/11,650,176
  6. Step 6: Final answer
    x = 55,989,147.91

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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.