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Finding the Third Proportional to 10,485,597 and 14,166,693

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Solution

The third proportional to 10,485,597 and 14,166,693 is: 19,140,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,597 : 14,166,693 = 14,166,693 : x
  2. Step 2: Convert to fraction form
    10,485,597/14,166,693 = 14,166,693/x
  3. Step 3: Cross multiply
    10,485,597x = 14,166,693 × 14,166,693
  4. Step 4: Simplify right side
    10,485,597x = 200,695,190,556,249
  5. Step 5: Solve for x
    x = 200,695,190,556,249/10,485,597
  6. Step 6: Final answer
    x = 19,140,082.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.