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Finding the Third Proportional to 9,977,878 and 14,593,569

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Solution

The third proportional to 9,977,878 and 14,593,569 is: 21,344,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977,878 : 14,593,569 = 14,593,569 : x
  2. Step 2: Convert to fraction form
    9,977,878/14,593,569 = 14,593,569/x
  3. Step 3: Cross multiply
    9,977,878x = 14,593,569 × 14,593,569
  4. Step 4: Simplify right side
    9,977,878x = 212,972,256,157,761
  5. Step 5: Solve for x
    x = 212,972,256,157,761/9,977,878
  6. Step 6: Final answer
    x = 21,344,443.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.