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Finding the Third Proportional to 377,543,644,284 and 808,938,680,568

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Solution

The third proportional to 377,543,644,284 and 808,938,680,568 is: 1,733,261,303,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,543,644,284 : 808,938,680,568 = 808,938,680,568 : x
  2. Step 2: Convert to fraction form
    377,543,644,284/808,938,680,568 = 808,938,680,568/x
  3. Step 3: Cross multiply
    377,543,644,284x = 808,938,680,568 × 808,938,680,568
  4. Step 4: Simplify right side
    377,543,644,284x = 654,381,788,919,096,701,616,128
  5. Step 5: Solve for x
    x = 654,381,788,919,096,701,616,128/377,543,644,284
  6. Step 6: Final answer
    x = 1,733,261,303,233.20

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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.