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Finding the Third Proportional to 4,476,927 and 9,592,641

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Solution

The third proportional to 4,476,927 and 9,592,641 is: 20,554,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476,927 : 9,592,641 = 9,592,641 : x
  2. Step 2: Convert to fraction form
    4,476,927/9,592,641 = 9,592,641/x
  3. Step 3: Cross multiply
    4,476,927x = 9,592,641 × 9,592,641
  4. Step 4: Simplify right side
    4,476,927x = 92,018,761,354,881
  5. Step 5: Solve for x
    x = 92,018,761,354,881/4,476,927
  6. Step 6: Final answer
    x = 20,554,000.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.