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Finding the Third Proportional to 4,977,994 and 10,857,006

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Solution

The third proportional to 4,977,994 and 10,857,006 is: 23,679,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,994 : 10,857,006 = 10,857,006 : x
  2. Step 2: Convert to fraction form
    4,977,994/10,857,006 = 10,857,006/x
  3. Step 3: Cross multiply
    4,977,994x = 10,857,006 × 10,857,006
  4. Step 4: Simplify right side
    4,977,994x = 117,874,579,284,036
  5. Step 5: Solve for x
    x = 117,874,579,284,036/4,977,994
  6. Step 6: Final answer
    x = 23,679,132.45

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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.