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Finding the Third Proportional to 170,746,584 and 374,678,448

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Solution

The third proportional to 170,746,584 and 374,678,448 is: 822,177,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,746,584 : 374,678,448 = 374,678,448 : x
  2. Step 2: Convert to fraction form
    170,746,584/374,678,448 = 374,678,448/x
  3. Step 3: Cross multiply
    170,746,584x = 374,678,448 × 374,678,448
  4. Step 4: Simplify right side
    170,746,584x = 140,383,939,395,688,704
  5. Step 5: Solve for x
    x = 140,383,939,395,688,704/170,746,584
  6. Step 6: Final answer
    x = 822,177,147.60

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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.