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Finding the Third Proportional to 9,781,543 and 21,452,653

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Solution

The third proportional to 9,781,543 and 21,452,653 is: 47,049,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,543 : 21,452,653 = 21,452,653 : x
  2. Step 2: Convert to fraction form
    9,781,543/21,452,653 = 21,452,653/x
  3. Step 3: Cross multiply
    9,781,543x = 21,452,653 × 21,452,653
  4. Step 4: Simplify right side
    9,781,543x = 460,216,320,738,409
  5. Step 5: Solve for x
    x = 460,216,320,738,409/9,781,543
  6. Step 6: Final answer
    x = 47,049,460.47

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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.