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Finding the Third Proportional to 5,465,999 and 12,654,056.50

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Solution

The third proportional to 5,465,999 and 12,654,056.50 is: 29,294,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465,999 : 12,654,056.50 = 12,654,056.50 : x
  2. Step 2: Convert to fraction form
    5,465,999/12,654,056.50 = 12,654,056.50/x
  3. Step 3: Cross multiply
    5,465,999x = 12,654,056.50 × 12,654,056.50
  4. Step 4: Simplify right side
    5,465,999x = 160,125,145,905,192.25
  5. Step 5: Solve for x
    x = 160,125,145,905,192.25/5,465,999
  6. Step 6: Final answer
    x = 29,294,763.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.