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Finding the Third Proportional to 9,838,378.97 and 21,613,710.94

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Solution

The third proportional to 9,838,378.97 and 21,613,710.94 is: 47,482,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838,378.97 : 21,613,710.94 = 21,613,710.94 : x
  2. Step 2: Convert to fraction form
    9,838,378.97/21,613,710.94 = 21,613,710.94/x
  3. Step 3: Cross multiply
    9,838,378.97x = 21,613,710.94 × 21,613,710.94
  4. Step 4: Simplify right side
    9,838,378.97x = 467,152,500,489,807.12
  5. Step 5: Solve for x
    x = 467,152,500,489,807.12/9,838,378.97
  6. Step 6: Final answer
    x = 47,482,669.86

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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.