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Finding the Third Proportional to 10,772,568 and 23,038,128

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Solution

The third proportional to 10,772,568 and 23,038,128 is: 49,269,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,568 : 23,038,128 = 23,038,128 : x
  2. Step 2: Convert to fraction form
    10,772,568/23,038,128 = 23,038,128/x
  3. Step 3: Cross multiply
    10,772,568x = 23,038,128 × 23,038,128
  4. Step 4: Simplify right side
    10,772,568x = 530,755,341,744,384
  5. Step 5: Solve for x
    x = 530,755,341,744,384/10,772,568
  6. Step 6: Final answer
    x = 49,269,156.78

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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.