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Finding the Third Proportional to 9,461,135 and 20,713,421

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Solution

The third proportional to 9,461,135 and 20,713,421 is: 45,348,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461,135 : 20,713,421 = 20,713,421 : x
  2. Step 2: Convert to fraction form
    9,461,135/20,713,421 = 20,713,421/x
  3. Step 3: Cross multiply
    9,461,135x = 20,713,421 × 20,713,421
  4. Step 4: Simplify right side
    9,461,135x = 429,045,809,523,241
  5. Step 5: Solve for x
    x = 429,045,809,523,241/9,461,135
  6. Step 6: Final answer
    x = 45,348,238.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.