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Finding the Third Proportional to 11,431,314 and 24,657,480

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Solution

The third proportional to 11,431,314 and 24,657,480 is: 53,186,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,314 : 24,657,480 = 24,657,480 : x
  2. Step 2: Convert to fraction form
    11,431,314/24,657,480 = 24,657,480/x
  3. Step 3: Cross multiply
    11,431,314x = 24,657,480 × 24,657,480
  4. Step 4: Simplify right side
    11,431,314x = 607,991,319,950,400
  5. Step 5: Solve for x
    x = 607,991,319,950,400/11,431,314
  6. Step 6: Final answer
    x = 53,186,477.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.