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Finding the Third Proportional to 9,755,478 and 21,009,321

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Solution

The third proportional to 9,755,478 and 21,009,321 is: 45,245,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755,478 : 21,009,321 = 21,009,321 : x
  2. Step 2: Convert to fraction form
    9,755,478/21,009,321 = 21,009,321/x
  3. Step 3: Cross multiply
    9,755,478x = 21,009,321 × 21,009,321
  4. Step 4: Simplify right side
    9,755,478x = 441,391,568,881,041
  5. Step 5: Solve for x
    x = 441,391,568,881,041/9,755,478
  6. Step 6: Final answer
    x = 45,245,509.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.