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Finding the Third Proportional to 75,035,478 and 162,594,643

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Solution

The third proportional to 75,035,478 and 162,594,643 is: 352,326,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,035,478 : 162,594,643 = 162,594,643 : x
  2. Step 2: Convert to fraction form
    75,035,478/162,594,643 = 162,594,643/x
  3. Step 3: Cross multiply
    75,035,478x = 162,594,643 × 162,594,643
  4. Step 4: Simplify right side
    75,035,478x = 26,437,017,932,297,448
  5. Step 5: Solve for x
    x = 26,437,017,932,297,448/75,035,478
  6. Step 6: Final answer
    x = 352,326,907.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.