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Finding the Third Proportional to 10,271,720 and 24,291,480

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Solution

The third proportional to 10,271,720 and 24,291,480 is: 57,446,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271,720 : 24,291,480 = 24,291,480 : x
  2. Step 2: Convert to fraction form
    10,271,720/24,291,480 = 24,291,480/x
  3. Step 3: Cross multiply
    10,271,720x = 24,291,480 × 24,291,480
  4. Step 4: Simplify right side
    10,271,720x = 590,076,000,590,400
  5. Step 5: Solve for x
    x = 590,076,000,590,400/10,271,720
  6. Step 6: Final answer
    x = 57,446,659.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.