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Finding the Third Proportional to 4,732,912 and 10,361,408

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Solution

The third proportional to 4,732,912 and 10,361,408 is: 22,683,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,912 : 10,361,408 = 10,361,408 : x
  2. Step 2: Convert to fraction form
    4,732,912/10,361,408 = 10,361,408/x
  3. Step 3: Cross multiply
    4,732,912x = 10,361,408 × 10,361,408
  4. Step 4: Simplify right side
    4,732,912x = 107,358,775,742,464
  5. Step 5: Solve for x
    x = 107,358,775,742,464/4,732,912
  6. Step 6: Final answer
    x = 22,683,450.64

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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.