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Finding the Third Proportional to 74,862,853,798.50 and 166,463,973,330

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Solution

The third proportional to 74,862,853,798.50 and 166,463,973,330 is: 370,146,915,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862,853,798.50 : 166,463,973,330 = 166,463,973,330 : x
  2. Step 2: Convert to fraction form
    74,862,853,798.50/166,463,973,330 = 166,463,973,330/x
  3. Step 3: Cross multiply
    74,862,853,798.50x = 166,463,973,330 × 166,463,973,330
  4. Step 4: Simplify right side
    74,862,853,798.50x = 27,710,254,416,810,949,476,352
  5. Step 5: Solve for x
    x = 27,710,254,416,810,949,476,352/74,862,853,798.50
  6. Step 6: Final answer
    x = 370,146,915,470.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.