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Finding the Third Proportional to 6,287,977.50 and 13,472,352

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Solution

The third proportional to 6,287,977.50 and 13,472,352 is: 28,865,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287,977.50 : 13,472,352 = 13,472,352 : x
  2. Step 2: Convert to fraction form
    6,287,977.50/13,472,352 = 13,472,352/x
  3. Step 3: Cross multiply
    6,287,977.50x = 13,472,352 × 13,472,352
  4. Step 4: Simplify right side
    6,287,977.50x = 181,504,268,411,904
  5. Step 5: Solve for x
    x = 181,504,268,411,904/6,287,977.50
  6. Step 6: Final answer
    x = 28,865,285.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.