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Finding the Third Proportional to 7,341,876 and 15,746,634

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Solution

The third proportional to 7,341,876 and 15,746,634 is: 33,772,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341,876 : 15,746,634 = 15,746,634 : x
  2. Step 2: Convert to fraction form
    7,341,876/15,746,634 = 15,746,634/x
  3. Step 3: Cross multiply
    7,341,876x = 15,746,634 × 15,746,634
  4. Step 4: Simplify right side
    7,341,876x = 247,956,482,329,956
  5. Step 5: Solve for x
    x = 247,956,482,329,956/7,341,876
  6. Step 6: Final answer
    x = 33,772,905.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.