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Finding the Third Proportional to 6,472,506 and 13,953,757.50

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Solution

The third proportional to 6,472,506 and 13,953,757.50 is: 30,082,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,506 : 13,953,757.50 = 13,953,757.50 : x
  2. Step 2: Convert to fraction form
    6,472,506/13,953,757.50 = 13,953,757.50/x
  3. Step 3: Cross multiply
    6,472,506x = 13,953,757.50 × 13,953,757.50
  4. Step 4: Simplify right side
    6,472,506x = 194,707,348,368,806.25
  5. Step 5: Solve for x
    x = 194,707,348,368,806.25/6,472,506
  6. Step 6: Final answer
    x = 30,082,219.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.