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Finding the Third Proportional to 29,863,805.48 and 70,397,292.57

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Solution

The third proportional to 29,863,805.48 and 70,397,292.57 is: 165,945,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,863,805.48 : 70,397,292.57 = 70,397,292.57 : x
  2. Step 2: Convert to fraction form
    29,863,805.48/70,397,292.57 = 70,397,292.57/x
  3. Step 3: Cross multiply
    29,863,805.48x = 70,397,292.57 × 70,397,292.57
  4. Step 4: Simplify right side
    29,863,805.48x = 4,955,778,801,574,065
  5. Step 5: Solve for x
    x = 4,955,778,801,574,065/29,863,805.48
  6. Step 6: Final answer
    x = 165,945,991.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.