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Finding the Third Proportional to 7,971,374.25 and 12,376,965.38

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Solution

The third proportional to 7,971,374.25 and 12,376,965.38 is: 19,217,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971,374.25 : 12,376,965.38 = 12,376,965.38 : x
  2. Step 2: Convert to fraction form
    7,971,374.25/12,376,965.38 = 12,376,965.38/x
  3. Step 3: Cross multiply
    7,971,374.25x = 12,376,965.38 × 12,376,965.38
  4. Step 4: Simplify right side
    7,971,374.25x = 153,189,271,893,948.88
  5. Step 5: Solve for x
    x = 153,189,271,893,948.88/7,971,374.25
  6. Step 6: Final answer
    x = 19,217,423.13

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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.