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Finding the Third Proportional to 6,501,636 and 9,563,931

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Solution

The third proportional to 6,501,636 and 9,563,931 is: 14,068,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501,636 : 9,563,931 = 9,563,931 : x
  2. Step 2: Convert to fraction form
    6,501,636/9,563,931 = 9,563,931/x
  3. Step 3: Cross multiply
    6,501,636x = 9,563,931 × 9,563,931
  4. Step 4: Simplify right side
    6,501,636x = 91,468,776,172,761
  5. Step 5: Solve for x
    x = 91,468,776,172,761/6,501,636
  6. Step 6: Final answer
    x = 14,068,578.46

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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.