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Finding the Third Proportional to 10,077,549 and 21,475,089

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Solution

The third proportional to 10,077,549 and 21,475,089 is: 45,763,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077,549 : 21,475,089 = 21,475,089 : x
  2. Step 2: Convert to fraction form
    10,077,549/21,475,089 = 21,475,089/x
  3. Step 3: Cross multiply
    10,077,549x = 21,475,089 × 21,475,089
  4. Step 4: Simplify right side
    10,077,549x = 461,179,447,557,921
  5. Step 5: Solve for x
    x = 461,179,447,557,921/10,077,549
  6. Step 6: Final answer
    x = 45,763,056.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.