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Finding the Third Proportional to 8,362,464 and 11,776,572

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Solution

The third proportional to 8,362,464 and 11,776,572 is: 16,584,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362,464 : 11,776,572 = 11,776,572 : x
  2. Step 2: Convert to fraction form
    8,362,464/11,776,572 = 11,776,572/x
  3. Step 3: Cross multiply
    8,362,464x = 11,776,572 × 11,776,572
  4. Step 4: Simplify right side
    8,362,464x = 138,687,648,071,184
  5. Step 5: Solve for x
    x = 138,687,648,071,184/8,362,464
  6. Step 6: Final answer
    x = 16,584,543.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.