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Finding the Third Proportional to 29,870,496 and 46,132,290

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Solution

The third proportional to 29,870,496 and 46,132,290 is: 71,247,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870,496 : 46,132,290 = 46,132,290 : x
  2. Step 2: Convert to fraction form
    29,870,496/46,132,290 = 46,132,290/x
  3. Step 3: Cross multiply
    29,870,496x = 46,132,290 × 46,132,290
  4. Step 4: Simplify right side
    29,870,496x = 2,128,188,180,644,100
  5. Step 5: Solve for x
    x = 2,128,188,180,644,100/29,870,496
  6. Step 6: Final answer
    x = 71,247,165.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.