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Finding the Third Proportional to 10,221,681 and 21,861,631

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Solution

The third proportional to 10,221,681 and 21,861,631 is: 46,756,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,681 : 21,861,631 = 21,861,631 : x
  2. Step 2: Convert to fraction form
    10,221,681/21,861,631 = 21,861,631/x
  3. Step 3: Cross multiply
    10,221,681x = 21,861,631 × 21,861,631
  4. Step 4: Simplify right side
    10,221,681x = 477,930,909,980,161
  5. Step 5: Solve for x
    x = 477,930,909,980,161/10,221,681
  6. Step 6: Final answer
    x = 46,756,586.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.