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Finding the Third Proportional to 10,709,671 and 23,545,101

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Solution

The third proportional to 10,709,671 and 23,545,101 is: 51,763,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,671 : 23,545,101 = 23,545,101 : x
  2. Step 2: Convert to fraction form
    10,709,671/23,545,101 = 23,545,101/x
  3. Step 3: Cross multiply
    10,709,671x = 23,545,101 × 23,545,101
  4. Step 4: Simplify right side
    10,709,671x = 554,371,781,100,201
  5. Step 5: Solve for x
    x = 554,371,781,100,201/10,709,671
  6. Step 6: Final answer
    x = 51,763,661.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.