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Finding the Third Proportional to 6,426,657 and 9,393,693

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Solution

The third proportional to 6,426,657 and 9,393,693 is: 13,730,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426,657 : 9,393,693 = 9,393,693 : x
  2. Step 2: Convert to fraction form
    6,426,657/9,393,693 = 9,393,693/x
  3. Step 3: Cross multiply
    6,426,657x = 9,393,693 × 9,393,693
  4. Step 4: Simplify right side
    6,426,657x = 88,241,468,178,249
  5. Step 5: Solve for x
    x = 88,241,468,178,249/6,426,657
  6. Step 6: Final answer
    x = 13,730,539.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.