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Finding the Third Proportional to 12,692,227.50 and 19,335,935.25

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Solution

The third proportional to 12,692,227.50 and 19,335,935.25 is: 29,457,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692,227.50 : 19,335,935.25 = 19,335,935.25 : x
  2. Step 2: Convert to fraction form
    12,692,227.50/19,335,935.25 = 19,335,935.25/x
  3. Step 3: Cross multiply
    12,692,227.50x = 19,335,935.25 × 19,335,935.25
  4. Step 4: Simplify right side
    12,692,227.50x = 373,878,391,992,192.56
  5. Step 5: Solve for x
    x = 373,878,391,992,192.56/12,692,227.50
  6. Step 6: Final answer
    x = 29,457,271.55

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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.