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Finding the Third Proportional to 6,393,681 and 13,697,154

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Solution

The third proportional to 6,393,681 and 13,697,154 is: 29,343,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,681 : 13,697,154 = 13,697,154 : x
  2. Step 2: Convert to fraction form
    6,393,681/13,697,154 = 13,697,154/x
  3. Step 3: Cross multiply
    6,393,681x = 13,697,154 × 13,697,154
  4. Step 4: Simplify right side
    6,393,681x = 187,612,027,699,716
  5. Step 5: Solve for x
    x = 187,612,027,699,716/6,393,681
  6. Step 6: Final answer
    x = 29,343,351.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.