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Finding the Third Proportional to 10,597,971 and 16,808,944.50

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Solution

The third proportional to 10,597,971 and 16,808,944.50 is: 26,659,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597,971 : 16,808,944.50 = 16,808,944.50 : x
  2. Step 2: Convert to fraction form
    10,597,971/16,808,944.50 = 16,808,944.50/x
  3. Step 3: Cross multiply
    10,597,971x = 16,808,944.50 × 16,808,944.50
  4. Step 4: Simplify right side
    10,597,971x = 282,540,615,204,080.25
  5. Step 5: Solve for x
    x = 282,540,615,204,080.25/10,597,971
  6. Step 6: Final answer
    x = 26,659,878.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.