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Finding the Third Proportional to 9,717,298.50 and 21,265,125

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Solution

The third proportional to 9,717,298.50 and 21,265,125 is: 46,536,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,298.50 : 21,265,125 = 21,265,125 : x
  2. Step 2: Convert to fraction form
    9,717,298.50/21,265,125 = 21,265,125/x
  3. Step 3: Cross multiply
    9,717,298.50x = 21,265,125 × 21,265,125
  4. Step 4: Simplify right side
    9,717,298.50x = 452,205,541,265,625
  5. Step 5: Solve for x
    x = 452,205,541,265,625/9,717,298.50
  6. Step 6: Final answer
    x = 46,536,137.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.