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Finding the Third Proportional to 8,975,190 and 19,574,892

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Solution

The third proportional to 8,975,190 and 19,574,892 is: 42,692,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975,190 : 19,574,892 = 19,574,892 : x
  2. Step 2: Convert to fraction form
    8,975,190/19,574,892 = 19,574,892/x
  3. Step 3: Cross multiply
    8,975,190x = 19,574,892 × 19,574,892
  4. Step 4: Simplify right side
    8,975,190x = 383,176,396,811,664
  5. Step 5: Solve for x
    x = 383,176,396,811,664/8,975,190
  6. Step 6: Final answer
    x = 42,692,845.14

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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.