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Finding the Third Proportional to 29,872,152 and 45,083,016

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Solution

The third proportional to 29,872,152 and 45,083,016 is: 68,039,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872,152 : 45,083,016 = 45,083,016 : x
  2. Step 2: Convert to fraction form
    29,872,152/45,083,016 = 45,083,016/x
  3. Step 3: Cross multiply
    29,872,152x = 45,083,016 × 45,083,016
  4. Step 4: Simplify right side
    29,872,152x = 2,032,478,331,656,256
  5. Step 5: Solve for x
    x = 2,032,478,331,656,256/29,872,152
  6. Step 6: Final answer
    x = 68,039,233.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.