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Finding the Third Proportional to 7,710,736 and 16,934,926

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Solution

The third proportional to 7,710,736 and 16,934,926 is: 37,193,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710,736 : 16,934,926 = 16,934,926 : x
  2. Step 2: Convert to fraction form
    7,710,736/16,934,926 = 16,934,926/x
  3. Step 3: Cross multiply
    7,710,736x = 16,934,926 × 16,934,926
  4. Step 4: Simplify right side
    7,710,736x = 286,791,718,625,476
  5. Step 5: Solve for x
    x = 286,791,718,625,476/7,710,736
  6. Step 6: Final answer
    x = 37,193,818.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.