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Finding the Third Proportional to 45,450,117 and 70,519,891.50

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Solution

The third proportional to 45,450,117 and 70,519,891.50 is: 109,417,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,450,117 : 70,519,891.50 = 70,519,891.50 : x
  2. Step 2: Convert to fraction form
    45,450,117/70,519,891.50 = 70,519,891.50/x
  3. Step 3: Cross multiply
    45,450,117x = 70,519,891.50 × 70,519,891.50
  4. Step 4: Simplify right side
    45,450,117x = 4,973,055,097,171,772
  5. Step 5: Solve for x
    x = 4,973,055,097,171,772/45,450,117
  6. Step 6: Final answer
    x = 109,417,872.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.