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Finding the Third Proportional to 14,621,782 and 31,681,732

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Solution

The third proportional to 14,621,782 and 31,681,732 is: 68,646,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,621,782 : 31,681,732 = 31,681,732 : x
  2. Step 2: Convert to fraction form
    14,621,782/31,681,732 = 31,681,732/x
  3. Step 3: Cross multiply
    14,621,782x = 31,681,732 × 31,681,732
  4. Step 4: Simplify right side
    14,621,782x = 1,003,732,142,519,824
  5. Step 5: Solve for x
    x = 1,003,732,142,519,824/14,621,782
  6. Step 6: Final answer
    x = 68,646,362.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.