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Finding the Third Proportional to 7,692,877.50 and 12,181,473

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Solution

The third proportional to 7,692,877.50 and 12,181,473 is: 19,289,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,877.50 : 12,181,473 = 12,181,473 : x
  2. Step 2: Convert to fraction form
    7,692,877.50/12,181,473 = 12,181,473/x
  3. Step 3: Cross multiply
    7,692,877.50x = 12,181,473 × 12,181,473
  4. Step 4: Simplify right side
    7,692,877.50x = 148,388,284,449,729
  5. Step 5: Solve for x
    x = 148,388,284,449,729/7,692,877.50
  6. Step 6: Final answer
    x = 19,289,048.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.