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Finding the Third Proportional to 4,709,416 and 10,171,700

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Solution

The third proportional to 4,709,416 and 10,171,700 is: 21,969,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,416 : 10,171,700 = 10,171,700 : x
  2. Step 2: Convert to fraction form
    4,709,416/10,171,700 = 10,171,700/x
  3. Step 3: Cross multiply
    4,709,416x = 10,171,700 × 10,171,700
  4. Step 4: Simplify right side
    4,709,416x = 103,463,480,890,000
  5. Step 5: Solve for x
    x = 103,463,480,890,000/4,709,416
  6. Step 6: Final answer
    x = 21,969,492.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.