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Finding the Third Proportional to 5,041,377.75 and 7,748,960.63

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Solution

The third proportional to 5,041,377.75 and 7,748,960.63 is: 11,910,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041,377.75 : 7,748,960.63 = 7,748,960.63 : x
  2. Step 2: Convert to fraction form
    5,041,377.75/7,748,960.63 = 7,748,960.63/x
  3. Step 3: Cross multiply
    5,041,377.75x = 7,748,960.63 × 7,748,960.63
  4. Step 4: Simplify right side
    5,041,377.75x = 60,046,390,767,800.39
  5. Step 5: Solve for x
    x = 60,046,390,767,800.39/5,041,377.75
  6. Step 6: Final answer
    x = 11,910,710.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.