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Finding the Third Proportional to 45,479,533 and 69,975,883.50

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Solution

The third proportional to 45,479,533 and 69,975,883.50 is: 107,666,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,479,533 : 69,975,883.50 = 69,975,883.50 : x
  2. Step 2: Convert to fraction form
    45,479,533/69,975,883.50 = 69,975,883.50/x
  3. Step 3: Cross multiply
    45,479,533x = 69,975,883.50 × 69,975,883.50
  4. Step 4: Simplify right side
    45,479,533x = 4,896,624,271,605,572
  5. Step 5: Solve for x
    x = 4,896,624,271,605,572/45,479,533
  6. Step 6: Final answer
    x = 107,666,546.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.