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Finding the Third Proportional to 10,136,080 and 21,856,520

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Solution

The third proportional to 10,136,080 and 21,856,520 is: 47,129,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136,080 : 21,856,520 = 21,856,520 : x
  2. Step 2: Convert to fraction form
    10,136,080/21,856,520 = 21,856,520/x
  3. Step 3: Cross multiply
    10,136,080x = 21,856,520 × 21,856,520
  4. Step 4: Simplify right side
    10,136,080x = 477,707,466,510,400
  5. Step 5: Solve for x
    x = 477,707,466,510,400/10,136,080
  6. Step 6: Final answer
    x = 47,129,409.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.