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Finding the Third Proportional to 7,303,513 and 11,397,448

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Solution

The third proportional to 7,303,513 and 11,397,448 is: 17,786,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303,513 : 11,397,448 = 11,397,448 : x
  2. Step 2: Convert to fraction form
    7,303,513/11,397,448 = 11,397,448/x
  3. Step 3: Cross multiply
    7,303,513x = 11,397,448 × 11,397,448
  4. Step 4: Simplify right side
    7,303,513x = 129,901,820,912,704
  5. Step 5: Solve for x
    x = 129,901,820,912,704/7,303,513
  6. Step 6: Final answer
    x = 17,786,210.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.