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Finding the Third Proportional to 21,757,986 and 47,359,476

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Solution

The third proportional to 21,757,986 and 47,359,476 is: 103,084,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757,986 : 47,359,476 = 47,359,476 : x
  2. Step 2: Convert to fraction form
    21,757,986/47,359,476 = 47,359,476/x
  3. Step 3: Cross multiply
    21,757,986x = 47,359,476 × 47,359,476
  4. Step 4: Simplify right side
    21,757,986x = 2,242,919,966,994,576
  5. Step 5: Solve for x
    x = 2,242,919,966,994,576/21,757,986
  6. Step 6: Final answer
    x = 103,084,907.17

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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.