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Finding the Third Proportional to 31,604,282,100 and 45,662,729,922

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Solution

The third proportional to 31,604,282,100 and 45,662,729,922 is: 65,974,759,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604,282,100 : 45,662,729,922 = 45,662,729,922 : x
  2. Step 2: Convert to fraction form
    31,604,282,100/45,662,729,922 = 45,662,729,922/x
  3. Step 3: Cross multiply
    31,604,282,100x = 45,662,729,922 × 45,662,729,922
  4. Step 4: Simplify right side
    31,604,282,100x = 2,085,084,903,929,514,033,152
  5. Step 5: Solve for x
    x = 2,085,084,903,929,514,033,152/31,604,282,100
  6. Step 6: Final answer
    x = 65,974,759,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.