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Finding the Third Proportional to 9,774,646 and 21,472,394

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Solution

The third proportional to 9,774,646 and 21,472,394 is: 47,169,350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774,646 : 21,472,394 = 21,472,394 : x
  2. Step 2: Convert to fraction form
    9,774,646/21,472,394 = 21,472,394/x
  3. Step 3: Cross multiply
    9,774,646x = 21,472,394 × 21,472,394
  4. Step 4: Simplify right side
    9,774,646x = 461,063,704,091,236
  5. Step 5: Solve for x
    x = 461,063,704,091,236/9,774,646
  6. Step 6: Final answer
    x = 47,169,350.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.