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Finding the Third Proportional to 9,956,830.50 and 15,377,431.50

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Solution

The third proportional to 9,956,830.50 and 15,377,431.50 is: 23,749,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956,830.50 : 15,377,431.50 = 15,377,431.50 : x
  2. Step 2: Convert to fraction form
    9,956,830.50/15,377,431.50 = 15,377,431.50/x
  3. Step 3: Cross multiply
    9,956,830.50x = 15,377,431.50 × 15,377,431.50
  4. Step 4: Simplify right side
    9,956,830.50x = 236,465,399,537,192.25
  5. Step 5: Solve for x
    x = 236,465,399,537,192.25/9,956,830.50
  6. Step 6: Final answer
    x = 23,749,063.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.