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Finding the Third Proportional to 10,008,146 and 21,851,455

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Solution

The third proportional to 10,008,146 and 21,851,455 is: 47,709,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008,146 : 21,851,455 = 21,851,455 : x
  2. Step 2: Convert to fraction form
    10,008,146/21,851,455 = 21,851,455/x
  3. Step 3: Cross multiply
    10,008,146x = 21,851,455 × 21,851,455
  4. Step 4: Simplify right side
    10,008,146x = 477,486,085,617,025
  5. Step 5: Solve for x
    x = 477,486,085,617,025/10,008,146
  6. Step 6: Final answer
    x = 47,709,744.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.