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Finding the Third Proportional to 30,859,228.13 and 67,038,202.13

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Solution

The third proportional to 30,859,228.13 and 67,038,202.13 is: 145,632,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859,228.13 : 67,038,202.13 = 67,038,202.13 : x
  2. Step 2: Convert to fraction form
    30,859,228.13/67,038,202.13 = 67,038,202.13/x
  3. Step 3: Cross multiply
    30,859,228.13x = 67,038,202.13 × 67,038,202.13
  4. Step 4: Simplify right side
    30,859,228.13x = 4,494,120,544,152,354.50
  5. Step 5: Solve for x
    x = 4,494,120,544,152,354.50/30,859,228.13
  6. Step 6: Final answer
    x = 145,632,953.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.