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Finding the Third Proportional to 12,692,268.50 and 19,335,996.63

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Solution

The third proportional to 12,692,268.50 and 19,335,996.63 is: 29,457,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692,268.50 : 19,335,996.63 = 19,335,996.63 : x
  2. Step 2: Convert to fraction form
    12,692,268.50/19,335,996.63 = 19,335,996.63/x
  3. Step 3: Cross multiply
    12,692,268.50x = 19,335,996.63 × 19,335,996.63
  4. Step 4: Simplify right side
    12,692,268.50x = 373,880,765,482,011.38
  5. Step 5: Solve for x
    x = 373,880,765,482,011.38/12,692,268.50
  6. Step 6: Final answer
    x = 29,457,363.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.