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Finding the Third Proportional to 7,989,730 and 17,470,448

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Solution

The third proportional to 7,989,730 and 17,470,448 is: 38,201,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989,730 : 17,470,448 = 17,470,448 : x
  2. Step 2: Convert to fraction form
    7,989,730/17,470,448 = 17,470,448/x
  3. Step 3: Cross multiply
    7,989,730x = 17,470,448 × 17,470,448
  4. Step 4: Simplify right side
    7,989,730x = 305,216,553,320,704
  5. Step 5: Solve for x
    x = 305,216,553,320,704/7,989,730
  6. Step 6: Final answer
    x = 38,201,109.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.