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Finding the Third Proportional to 7,294,042.50 and 15,872,422.50

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Solution

The third proportional to 7,294,042.50 and 15,872,422.50 is: 34,539,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,042.50 : 15,872,422.50 = 15,872,422.50 : x
  2. Step 2: Convert to fraction form
    7,294,042.50/15,872,422.50 = 15,872,422.50/x
  3. Step 3: Cross multiply
    7,294,042.50x = 15,872,422.50 × 15,872,422.50
  4. Step 4: Simplify right side
    7,294,042.50x = 251,933,796,018,506.25
  5. Step 5: Solve for x
    x = 251,933,796,018,506.25/7,294,042.50
  6. Step 6: Final answer
    x = 34,539,666.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.