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Finding the Third Proportional to 10,772,590 and 23,038,168

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Solution

The third proportional to 10,772,590 and 23,038,168 is: 49,269,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,590 : 23,038,168 = 23,038,168 : x
  2. Step 2: Convert to fraction form
    10,772,590/23,038,168 = 23,038,168/x
  3. Step 3: Cross multiply
    10,772,590x = 23,038,168 × 23,038,168
  4. Step 4: Simplify right side
    10,772,590x = 530,757,184,796,224
  5. Step 5: Solve for x
    x = 530,757,184,796,224/10,772,590
  6. Step 6: Final answer
    x = 49,269,227.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.