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Finding the Third Proportional to 10,365,975 and 22,555,082

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Solution

The third proportional to 10,365,975 and 22,555,082 is: 49,077,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,975 : 22,555,082 = 22,555,082 : x
  2. Step 2: Convert to fraction form
    10,365,975/22,555,082 = 22,555,082/x
  3. Step 3: Cross multiply
    10,365,975x = 22,555,082 × 22,555,082
  4. Step 4: Simplify right side
    10,365,975x = 508,731,724,026,724
  5. Step 5: Solve for x
    x = 508,731,724,026,724/10,365,975
  6. Step 6: Final answer
    x = 49,077,074.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.