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Finding the Third Proportional to 7,971,021 and 12,376,462.50

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Solution

The third proportional to 7,971,021 and 12,376,462.50 is: 19,216,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971,021 : 12,376,462.50 = 12,376,462.50 : x
  2. Step 2: Convert to fraction form
    7,971,021/12,376,462.50 = 12,376,462.50/x
  3. Step 3: Cross multiply
    7,971,021x = 12,376,462.50 × 12,376,462.50
  4. Step 4: Simplify right side
    7,971,021x = 153,176,824,013,906.25
  5. Step 5: Solve for x
    x = 153,176,824,013,906.25/7,971,021
  6. Step 6: Final answer
    x = 19,216,713.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.