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Finding the Third Proportional to 10,507,450 and 22,808,416

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Solution

The third proportional to 10,507,450 and 22,808,416 is: 49,509,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507,450 : 22,808,416 = 22,808,416 : x
  2. Step 2: Convert to fraction form
    10,507,450/22,808,416 = 22,808,416/x
  3. Step 3: Cross multiply
    10,507,450x = 22,808,416 × 22,808,416
  4. Step 4: Simplify right side
    10,507,450x = 520,223,840,429,056
  5. Step 5: Solve for x
    x = 520,223,840,429,056/10,507,450
  6. Step 6: Final answer
    x = 49,509,999.14

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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.