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Finding the Third Proportional to 6,424,464 and 9,459,063

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Solution

The third proportional to 6,424,464 and 9,459,063 is: 13,927,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424,464 : 9,459,063 = 9,459,063 : x
  2. Step 2: Convert to fraction form
    6,424,464/9,459,063 = 9,459,063/x
  3. Step 3: Cross multiply
    6,424,464x = 9,459,063 × 9,459,063
  4. Step 4: Simplify right side
    6,424,464x = 89,473,872,837,969
  5. Step 5: Solve for x
    x = 89,473,872,837,969/6,424,464
  6. Step 6: Final answer
    x = 13,927,056.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.