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Finding the Third Proportional to 4,287,414 and 8,927,664

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Solution

The third proportional to 4,287,414 and 8,927,664 is: 18,590,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,414 : 8,927,664 = 8,927,664 : x
  2. Step 2: Convert to fraction form
    4,287,414/8,927,664 = 8,927,664/x
  3. Step 3: Cross multiply
    4,287,414x = 8,927,664 × 8,927,664
  4. Step 4: Simplify right side
    4,287,414x = 79,703,184,496,896
  5. Step 5: Solve for x
    x = 79,703,184,496,896/4,287,414
  6. Step 6: Final answer
    x = 18,590,036.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.