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Finding the Third Proportional to 9,749,534 and 21,126,190

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Solution

The third proportional to 9,749,534 and 21,126,190 is: 45,778,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749,534 : 21,126,190 = 21,126,190 : x
  2. Step 2: Convert to fraction form
    9,749,534/21,126,190 = 21,126,190/x
  3. Step 3: Cross multiply
    9,749,534x = 21,126,190 × 21,126,190
  4. Step 4: Simplify right side
    9,749,534x = 446,315,903,916,100
  5. Step 5: Solve for x
    x = 446,315,903,916,100/9,749,534
  6. Step 6: Final answer
    x = 45,778,178.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.