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Finding the Third Proportional to 4,767,512 and 10,347,752

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Solution

The third proportional to 4,767,512 and 10,347,752 is: 22,459,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767,512 : 10,347,752 = 10,347,752 : x
  2. Step 2: Convert to fraction form
    4,767,512/10,347,752 = 10,347,752/x
  3. Step 3: Cross multiply
    4,767,512x = 10,347,752 × 10,347,752
  4. Step 4: Simplify right side
    4,767,512x = 107,075,971,453,504
  5. Step 5: Solve for x
    x = 107,075,971,453,504/4,767,512
  6. Step 6: Final answer
    x = 22,459,507.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.