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Finding the Third Proportional to 377,543,644,294 and 808,938,680,588

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Solution

The third proportional to 377,543,644,294 and 808,938,680,588 is: 1,733,261,303,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,543,644,294 : 808,938,680,588 = 808,938,680,588 : x
  2. Step 2: Convert to fraction form
    377,543,644,294/808,938,680,588 = 808,938,680,588/x
  3. Step 3: Cross multiply
    377,543,644,294x = 808,938,680,588 × 808,938,680,588
  4. Step 4: Simplify right side
    377,543,644,294x = 654,381,788,951,454,314,135,552
  5. Step 5: Solve for x
    x = 654,381,788,951,454,314,135,552/377,543,644,294
  6. Step 6: Final answer
    x = 1,733,261,303,272.99

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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.