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Finding the Third Proportional to 10,500,705 and 16,199,082

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Solution

The third proportional to 10,500,705 and 16,199,082 is: 24,989,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500,705 : 16,199,082 = 16,199,082 : x
  2. Step 2: Convert to fraction form
    10,500,705/16,199,082 = 16,199,082/x
  3. Step 3: Cross multiply
    10,500,705x = 16,199,082 × 16,199,082
  4. Step 4: Simplify right side
    10,500,705x = 262,410,257,642,724
  5. Step 5: Solve for x
    x = 262,410,257,642,724/10,500,705
  6. Step 6: Final answer
    x = 24,989,775.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.