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Finding the Third Proportional to 5,867,973 and 8,976,312

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Solution

The third proportional to 5,867,973 and 8,976,312 is: 13,731,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867,973 : 8,976,312 = 8,976,312 : x
  2. Step 2: Convert to fraction form
    5,867,973/8,976,312 = 8,976,312/x
  3. Step 3: Cross multiply
    5,867,973x = 8,976,312 × 8,976,312
  4. Step 4: Simplify right side
    5,867,973x = 80,574,177,121,344
  5. Step 5: Solve for x
    x = 80,574,177,121,344/5,867,973
  6. Step 6: Final answer
    x = 13,731,177.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.