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Finding the Third Proportional to 10,624,095 and 22,873,603.50

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Solution

The third proportional to 10,624,095 and 22,873,603.50 is: 49,246,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,095 : 22,873,603.50 = 22,873,603.50 : x
  2. Step 2: Convert to fraction form
    10,624,095/22,873,603.50 = 22,873,603.50/x
  3. Step 3: Cross multiply
    10,624,095x = 22,873,603.50 × 22,873,603.50
  4. Step 4: Simplify right side
    10,624,095x = 523,201,737,075,212.25
  5. Step 5: Solve for x
    x = 523,201,737,075,212.25/10,624,095
  6. Step 6: Final answer
    x = 49,246,711.09

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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.