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Finding the Third Proportional to 10,144,683 and 20,643,653

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Solution

The third proportional to 10,144,683 and 20,643,653 is: 42,008,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,683 : 20,643,653 = 20,643,653 : x
  2. Step 2: Convert to fraction form
    10,144,683/20,643,653 = 20,643,653/x
  3. Step 3: Cross multiply
    10,144,683x = 20,643,653 × 20,643,653
  4. Step 4: Simplify right side
    10,144,683x = 426,160,409,184,409
  5. Step 5: Solve for x
    x = 426,160,409,184,409/10,144,683
  6. Step 6: Final answer
    x = 42,008,252.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.