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Finding the Third Proportional to 7,856,433 and 16,913,574

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Solution

The third proportional to 7,856,433 and 16,913,574 is: 36,412,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856,433 : 16,913,574 = 16,913,574 : x
  2. Step 2: Convert to fraction form
    7,856,433/16,913,574 = 16,913,574/x
  3. Step 3: Cross multiply
    7,856,433x = 16,913,574 × 16,913,574
  4. Step 4: Simplify right side
    7,856,433x = 286,068,985,453,476
  5. Step 5: Solve for x
    x = 286,068,985,453,476/7,856,433
  6. Step 6: Final answer
    x = 36,412,069.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.