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Finding the Third Proportional to 5,314,904 and 12,477,584

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Solution

The third proportional to 5,314,904 and 12,477,584 is: 29,293,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,904 : 12,477,584 = 12,477,584 : x
  2. Step 2: Convert to fraction form
    5,314,904/12,477,584 = 12,477,584/x
  3. Step 3: Cross multiply
    5,314,904x = 12,477,584 × 12,477,584
  4. Step 4: Simplify right side
    5,314,904x = 155,690,102,477,056
  5. Step 5: Solve for x
    x = 155,690,102,477,056/5,314,904
  6. Step 6: Final answer
    x = 29,293,116.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.