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Finding the Third Proportional to 30,718,090.50 and 65,994,820.50

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Solution

The third proportional to 30,718,090.50 and 65,994,820.50 is: 141,783,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718,090.50 : 65,994,820.50 = 65,994,820.50 : x
  2. Step 2: Convert to fraction form
    30,718,090.50/65,994,820.50 = 65,994,820.50/x
  3. Step 3: Cross multiply
    30,718,090.50x = 65,994,820.50 × 65,994,820.50
  4. Step 4: Simplify right side
    30,718,090.50x = 4,355,316,332,827,220
  5. Step 5: Solve for x
    x = 4,355,316,332,827,220/30,718,090.50
  6. Step 6: Final answer
    x = 141,783,433.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.