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Finding the Third Proportional to 6,402,462 and 9,766,257

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Solution

The third proportional to 6,402,462 and 9,766,257 is: 14,897,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402,462 : 9,766,257 = 9,766,257 : x
  2. Step 2: Convert to fraction form
    6,402,462/9,766,257 = 9,766,257/x
  3. Step 3: Cross multiply
    6,402,462x = 9,766,257 × 9,766,257
  4. Step 4: Simplify right side
    6,402,462x = 95,379,775,790,049
  5. Step 5: Solve for x
    x = 95,379,775,790,049/6,402,462
  6. Step 6: Final answer
    x = 14,897,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.