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Finding the Third Proportional to 35,888,361.19 and 78,724,213.88

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Solution

The third proportional to 35,888,361.19 and 78,724,213.88 is: 172,688,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888,361.19 : 78,724,213.88 = 78,724,213.88 : x
  2. Step 2: Convert to fraction form
    35,888,361.19/78,724,213.88 = 78,724,213.88/x
  3. Step 3: Cross multiply
    35,888,361.19x = 78,724,213.88 × 78,724,213.88
  4. Step 4: Simplify right side
    35,888,361.19x = 6,197,501,850,236,743
  5. Step 5: Solve for x
    x = 6,197,501,850,236,743/35,888,361.19
  6. Step 6: Final answer
    x = 172,688,349.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.