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Finding the Third Proportional to 7,969,402,190 and 17,440,065,064

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Solution

The third proportional to 7,969,402,190 and 17,440,065,064 is: 38,165,456,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969,402,190 : 17,440,065,064 = 17,440,065,064 : x
  2. Step 2: Convert to fraction form
    7,969,402,190/17,440,065,064 = 17,440,065,064/x
  3. Step 3: Cross multiply
    7,969,402,190x = 17,440,065,064 × 17,440,065,064
  4. Step 4: Simplify right side
    7,969,402,190x = 304,155,869,436,553,330,688
  5. Step 5: Solve for x
    x = 304,155,869,436,553,330,688/7,969,402,190
  6. Step 6: Final answer
    x = 38,165,456,101.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.