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Finding the Third Proportional to 73,246,759,566 and 157,091,594,470

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Solution

The third proportional to 73,246,759,566 and 157,091,594,470 is: 336,912,775,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,246,759,566 : 157,091,594,470 = 157,091,594,470 : x
  2. Step 2: Convert to fraction form
    73,246,759,566/157,091,594,470 = 157,091,594,470/x
  3. Step 3: Cross multiply
    73,246,759,566x = 157,091,594,470 × 157,091,594,470
  4. Step 4: Simplify right side
    73,246,759,566x = 24,677,769,053,126,933,872,640
  5. Step 5: Solve for x
    x = 24,677,769,053,126,933,872,640/73,246,759,566
  6. Step 6: Final answer
    x = 336,912,775,382.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.