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Finding the Third Proportional to 6,023,610 and 9,176,574

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Solution

The third proportional to 6,023,610 and 9,176,574 is: 13,979,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023,610 : 9,176,574 = 9,176,574 : x
  2. Step 2: Convert to fraction form
    6,023,610/9,176,574 = 9,176,574/x
  3. Step 3: Cross multiply
    6,023,610x = 9,176,574 × 9,176,574
  4. Step 4: Simplify right side
    6,023,610x = 84,209,510,377,476
  5. Step 5: Solve for x
    x = 84,209,510,377,476/6,023,610
  6. Step 6: Final answer
    x = 13,979,907.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.