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Finding the Third Proportional to 6,466,938 and 8,991,657

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Solution

The third proportional to 6,466,938 and 8,991,657 is: 12,502,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466,938 : 8,991,657 = 8,991,657 : x
  2. Step 2: Convert to fraction form
    6,466,938/8,991,657 = 8,991,657/x
  3. Step 3: Cross multiply
    6,466,938x = 8,991,657 × 8,991,657
  4. Step 4: Simplify right side
    6,466,938x = 80,849,895,605,649
  5. Step 5: Solve for x
    x = 80,849,895,605,649/6,466,938
  6. Step 6: Final answer
    x = 12,502,036.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.