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Finding the Third Proportional to 6,998,582 and 10,007,984

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Solution

The third proportional to 6,998,582 and 10,007,984 is: 14,311,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,582 : 10,007,984 = 10,007,984 : x
  2. Step 2: Convert to fraction form
    6,998,582/10,007,984 = 10,007,984/x
  3. Step 3: Cross multiply
    6,998,582x = 10,007,984 × 10,007,984
  4. Step 4: Simplify right side
    6,998,582x = 100,159,743,744,256
  5. Step 5: Solve for x
    x = 100,159,743,744,256/6,998,582
  6. Step 6: Final answer
    x = 14,311,433.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.