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Finding the Third Proportional to 6,298,563 and 13,817,473

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Solution

The third proportional to 6,298,563 and 13,817,473 is: 30,312,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,563 : 13,817,473 = 13,817,473 : x
  2. Step 2: Convert to fraction form
    6,298,563/13,817,473 = 13,817,473/x
  3. Step 3: Cross multiply
    6,298,563x = 13,817,473 × 13,817,473
  4. Step 4: Simplify right side
    6,298,563x = 190,922,560,105,729
  5. Step 5: Solve for x
    x = 190,922,560,105,729/6,298,563
  6. Step 6: Final answer
    x = 30,312,082.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.