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Finding the Third Proportional to 10,831,008 and 23,787,408

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Solution

The third proportional to 10,831,008 and 23,787,408 is: 52,242,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831,008 : 23,787,408 = 23,787,408 : x
  2. Step 2: Convert to fraction form
    10,831,008/23,787,408 = 23,787,408/x
  3. Step 3: Cross multiply
    10,831,008x = 23,787,408 × 23,787,408
  4. Step 4: Simplify right side
    10,831,008x = 565,840,779,358,464
  5. Step 5: Solve for x
    x = 565,840,779,358,464/10,831,008
  6. Step 6: Final answer
    x = 52,242,670.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.