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Finding the Third Proportional to 10,144,644 and 20,643,580.50

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Solution

The third proportional to 10,144,644 and 20,643,580.50 is: 42,008,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,644 : 20,643,580.50 = 20,643,580.50 : x
  2. Step 2: Convert to fraction form
    10,144,644/20,643,580.50 = 20,643,580.50/x
  3. Step 3: Cross multiply
    10,144,644x = 20,643,580.50 × 20,643,580.50
  4. Step 4: Simplify right side
    10,144,644x = 426,157,415,859,980.25
  5. Step 5: Solve for x
    x = 426,157,415,859,980.25/10,144,644
  6. Step 6: Final answer
    x = 42,008,119.34

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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.