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Finding the Third Proportional to 9,905,856 and 21,570,293

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Solution

The third proportional to 9,905,856 and 21,570,293 is: 46,969,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905,856 : 21,570,293 = 21,570,293 : x
  2. Step 2: Convert to fraction form
    9,905,856/21,570,293 = 21,570,293/x
  3. Step 3: Cross multiply
    9,905,856x = 21,570,293 × 21,570,293
  4. Step 4: Simplify right side
    9,905,856x = 465,277,540,105,849
  5. Step 5: Solve for x
    x = 465,277,540,105,849/9,905,856
  6. Step 6: Final answer
    x = 46,969,947.89

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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.