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Finding the Third Proportional to 2,666,358 and 5,909,253.75

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Solution

The third proportional to 2,666,358 and 5,909,253.75 is: 13,096,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666,358 : 5,909,253.75 = 5,909,253.75 : x
  2. Step 2: Convert to fraction form
    2,666,358/5,909,253.75 = 5,909,253.75/x
  3. Step 3: Cross multiply
    2,666,358x = 5,909,253.75 × 5,909,253.75
  4. Step 4: Simplify right side
    2,666,358x = 34,919,279,881,889.06
  5. Step 5: Solve for x
    x = 34,919,279,881,889.06/2,666,358
  6. Step 6: Final answer
    x = 13,096,245.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.