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Finding the Third Proportional to 994,751,914,207 and 1,528,060,637,108

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Solution

The third proportional to 994,751,914,207 and 1,528,060,637,108 is: 2,347,288,079,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,751,914,207 : 1,528,060,637,108 = 1,528,060,637,108 : x
  2. Step 2: Convert to fraction form
    994,751,914,207/1,528,060,637,108 = 1,528,060,637,108/x
  3. Step 3: Cross multiply
    994,751,914,207x = 1,528,060,637,108 × 1,528,060,637,108
  4. Step 4: Simplify right side
    994,751,914,207x = 2,334,969,310,678,906,946,191,360
  5. Step 5: Solve for x
    x = 2,334,969,310,678,906,946,191,360/994,751,914,207
  6. Step 6: Final answer
    x = 2,347,288,079,903.13

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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.