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Finding the Third Proportional to 20,295,416 and 42,715,624

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Solution

The third proportional to 20,295,416 and 42,715,624 is: 89,903,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295,416 : 42,715,624 = 42,715,624 : x
  2. Step 2: Convert to fraction form
    20,295,416/42,715,624 = 42,715,624/x
  3. Step 3: Cross multiply
    20,295,416x = 42,715,624 × 42,715,624
  4. Step 4: Simplify right side
    20,295,416x = 1,824,624,533,709,376
  5. Step 5: Solve for x
    x = 1,824,624,533,709,376/20,295,416
  6. Step 6: Final answer
    x = 89,903,283.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.