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Finding the Third Proportional to 30,452,176.13 and 65,758,412.25

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Solution

The third proportional to 30,452,176.13 and 65,758,412.25 is: 141,998,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,176.13 : 65,758,412.25 = 65,758,412.25 : x
  2. Step 2: Convert to fraction form
    30,452,176.13/65,758,412.25 = 65,758,412.25/x
  3. Step 3: Cross multiply
    30,452,176.13x = 65,758,412.25 × 65,758,412.25
  4. Step 4: Simplify right side
    30,452,176.13x = 4,324,168,781,640,950
  5. Step 5: Solve for x
    x = 4,324,168,781,640,950/30,452,176.13
  6. Step 6: Final answer
    x = 141,998,678.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.