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Finding the Third Proportional to 74,530,464 and 162,878,448

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Solution

The third proportional to 74,530,464 and 162,878,448 is: 355,953,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,530,464 : 162,878,448 = 162,878,448 : x
  2. Step 2: Convert to fraction form
    74,530,464/162,878,448 = 162,878,448/x
  3. Step 3: Cross multiply
    74,530,464x = 162,878,448 × 162,878,448
  4. Step 4: Simplify right side
    74,530,464x = 26,529,388,822,888,704
  5. Step 5: Solve for x
    x = 26,529,388,822,888,704/74,530,464
  6. Step 6: Final answer
    x = 355,953,624.85

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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.