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Finding the Third Proportional to 7,784,937 and 16,720,641

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Solution

The third proportional to 7,784,937 and 16,720,641 is: 35,912,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784,937 : 16,720,641 = 16,720,641 : x
  2. Step 2: Convert to fraction form
    7,784,937/16,720,641 = 16,720,641/x
  3. Step 3: Cross multiply
    7,784,937x = 16,720,641 × 16,720,641
  4. Step 4: Simplify right side
    7,784,937x = 279,579,835,450,881
  5. Step 5: Solve for x
    x = 279,579,835,450,881/7,784,937
  6. Step 6: Final answer
    x = 35,912,922.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.