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Finding the Third Proportional to 11,660,064 and 25,615,776

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Solution

The third proportional to 11,660,064 and 25,615,776 is: 56,274,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660,064 : 25,615,776 = 25,615,776 : x
  2. Step 2: Convert to fraction form
    11,660,064/25,615,776 = 25,615,776/x
  3. Step 3: Cross multiply
    11,660,064x = 25,615,776 × 25,615,776
  4. Step 4: Simplify right side
    11,660,064x = 656,167,980,082,176
  5. Step 5: Solve for x
    x = 656,167,980,082,176/11,660,064
  6. Step 6: Final answer
    x = 56,274,818.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.