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Finding the Third Proportional to 11,384,798 and 24,587,360

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Solution

The third proportional to 11,384,798 and 24,587,360 is: 53,100,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,798 : 24,587,360 = 24,587,360 : x
  2. Step 2: Convert to fraction form
    11,384,798/24,587,360 = 24,587,360/x
  3. Step 3: Cross multiply
    11,384,798x = 24,587,360 × 24,587,360
  4. Step 4: Simplify right side
    11,384,798x = 604,538,271,769,600
  5. Step 5: Solve for x
    x = 604,538,271,769,600/11,384,798
  6. Step 6: Final answer
    x = 53,100,482.92

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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.