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Finding the Third Proportional to 4,671,477 and 10,136,106

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Solution

The third proportional to 4,671,477 and 10,136,106 is: 21,993,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671,477 : 10,136,106 = 10,136,106 : x
  2. Step 2: Convert to fraction form
    4,671,477/10,136,106 = 10,136,106/x
  3. Step 3: Cross multiply
    4,671,477x = 10,136,106 × 10,136,106
  4. Step 4: Simplify right side
    4,671,477x = 102,740,644,843,236
  5. Step 5: Solve for x
    x = 102,740,644,843,236/4,671,477
  6. Step 6: Final answer
    x = 21,993,182.21

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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.