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Finding the Third Proportional to 3,160,026 and 4,768,011

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Solution

The third proportional to 3,160,026 and 4,768,011 is: 7,194,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,026 : 4,768,011 = 4,768,011 : x
  2. Step 2: Convert to fraction form
    3,160,026/4,768,011 = 4,768,011/x
  3. Step 3: Cross multiply
    3,160,026x = 4,768,011 × 4,768,011
  4. Step 4: Simplify right side
    3,160,026x = 22,733,928,896,121
  5. Step 5: Solve for x
    x = 22,733,928,896,121/3,160,026
  6. Step 6: Final answer
    x = 7,194,222.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.