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Finding the Third Proportional to 6,036,166 and 9,421,664

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Solution

The third proportional to 6,036,166 and 9,421,664 is: 14,705,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036,166 : 9,421,664 = 9,421,664 : x
  2. Step 2: Convert to fraction form
    6,036,166/9,421,664 = 9,421,664/x
  3. Step 3: Cross multiply
    6,036,166x = 9,421,664 × 9,421,664
  4. Step 4: Simplify right side
    6,036,166x = 88,767,752,528,896
  5. Step 5: Solve for x
    x = 88,767,752,528,896/6,036,166
  6. Step 6: Final answer
    x = 14,705,982.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.