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Finding the Third Proportional to 9,977,463 and 21,492,044

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Solution

The third proportional to 9,977,463 and 21,492,044 is: 46,295,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977,463 : 21,492,044 = 21,492,044 : x
  2. Step 2: Convert to fraction form
    9,977,463/21,492,044 = 21,492,044/x
  3. Step 3: Cross multiply
    9,977,463x = 21,492,044 × 21,492,044
  4. Step 4: Simplify right side
    9,977,463x = 461,907,955,297,936
  5. Step 5: Solve for x
    x = 461,907,955,297,936/9,977,463
  6. Step 6: Final answer
    x = 46,295,130.87

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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.