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Finding the Third Proportional to 402,145,110,360 and 599,730,310,112

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Solution

The third proportional to 402,145,110,360 and 599,730,310,112 is: 894,394,673,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145,110,360 : 599,730,310,112 = 599,730,310,112 : x
  2. Step 2: Convert to fraction form
    402,145,110,360/599,730,310,112 = 599,730,310,112/x
  3. Step 3: Cross multiply
    402,145,110,360x = 599,730,310,112 × 599,730,310,112
  4. Step 4: Simplify right side
    402,145,110,360x = 359,676,444,867,035,672,870,912
  5. Step 5: Solve for x
    x = 359,676,444,867,035,672,870,912/402,145,110,360
  6. Step 6: Final answer
    x = 894,394,673,964.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.