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Finding the Third Proportional to 45,617,784 and 94,469,116.50

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Solution

The third proportional to 45,617,784 and 94,469,116.50 is: 195,634,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,617,784 : 94,469,116.50 = 94,469,116.50 : x
  2. Step 2: Convert to fraction form
    45,617,784/94,469,116.50 = 94,469,116.50/x
  3. Step 3: Cross multiply
    45,617,784x = 94,469,116.50 × 94,469,116.50
  4. Step 4: Simplify right side
    45,617,784x = 8,924,413,972,290,572
  5. Step 5: Solve for x
    x = 8,924,413,972,290,572/45,617,784
  6. Step 6: Final answer
    x = 195,634,535.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.