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Finding the Third Proportional to 35,225,919 and 71,442,310

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Solution

The third proportional to 35,225,919 and 71,442,310 is: 144,893,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,225,919 : 71,442,310 = 71,442,310 : x
  2. Step 2: Convert to fraction form
    35,225,919/71,442,310 = 71,442,310/x
  3. Step 3: Cross multiply
    35,225,919x = 71,442,310 × 71,442,310
  4. Step 4: Simplify right side
    35,225,919x = 5,104,003,658,136,100
  5. Step 5: Solve for x
    x = 5,104,003,658,136,100/35,225,919
  6. Step 6: Final answer
    x = 144,893,413.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.